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    • ▾Algebra 2
      • ▸Polynomial arithmetic
        • •Descartes's rule of signs
        • •Difficult factoring problems
        • •Polynomial long division and graphing cubics
        • •Rational root theorem
        • •Higher-order polynomials
        • •Remainder theorem
        • •Factor theorem
        • •Sum and difference of cubes
        • •Reciprocal polynomials
        • •Adding and subtracting polynomials
        • •Multiplying binomials by polynomials
        • •Proving the sum and difference of cubes formulas
        • •Factoring and solving polynomials by graphing
      • ▸Complex numbers
        • •Intro to complex numbers
        • •Powers of the imaginary unit
        • •Simplifying square roots of negative integers
        • •Plotting complex numbers
        • •Adding and subtracting complex numbers
        • •Multiplying complex numbers
        • •Complex number conjugates
        • •Dividing complex numbers
        • •Modulus and argument of a complex number
        • •Proving properties of the complex modulus
        • •Converting complex numbers between polar and rectangular form
        • •Powers of complex numbers using modulus and argument
        • •Square root of a complex number
        • •Distance and midpoint of complex numbers
        • •Linear factorization
        • •Solving equations with complex numbers
        • •Quadratic equations with complex solutions
        • •Complex conjugate root theorem
        • •Fundamental theorem of algebra
      • ▸Polynomial factorization, division, and end behavior
        • •Finding the GCD and LCM of polynomials
        • •Sophie Germain's identity
        • •Dividing a polynomial by a monomial
        • •Dividing quadratics by linear expressions
        • •Polynomial long division
        • •Synthetic division
        • •Converting improper algebraic fractions to mixed algebraic fractions
      • ▸Rational exponents and radicals
        • •Adding and subtracting radicals
        • •Converting between radicals and rational exponents
        • •Rewrite exponential expressions
        • •Simplifying expressions with radicals and rational exponents
        • •Solving equations with radicals and rational exponents
        • •Transformations of the square and cube root functions
      • ▸Logarithms
        • •Evaluating logarithms
        • •Evaluating natural logarithms
        • •Converting between logarithmic form and exponential form
        • •Evaluating logarithmic expressions using the one-to-one property
        • ▸Expanding and condensing logarithmic expressions
          • •Expanding logarithmic expressions
          • ▸Condensing logarithmic expressions
            • •Lesson
            • •Practice
        • •Inverses of exponential and logarithmic functions
        • ▸Graphing logarithmic functions
          • •Sketching logarithmic functions under transformations
        • ▸Basic properties of logarithms
          • •Intro
          • •Proofs
          • •Using the theorems
        • •Change of base formula
        • •Properties of logarithms cheat sheet
        • •Solving logarithmic inequalities
        • •Solving literal equations using properties of logarithms
        • ▸Solving logarithmic equations
          • •Solving logarithmic equations using the one-to-one property
          • •Solving logarithmic equations using the properties of logarithms
        • •Verifying logarithmic identities
        • •Fractal dimension
        • •Logarithmic scale
        • •Approximating logarithms
      • ▸Transformations of functions
        • •Shifting, scaling, and reflecting
        • •Even and odd functions
        • •Wishful thinking strategy
      • ▾Equations and inequalities
        • •Solving literal equations
        • •Alternative quadratic formula
        • ▾Solving exponential equations
          • ▾Solving exponential equations using the one-to-one property
            • •Lesson
            • •Practice
        • •Intersections of lines, circles, and parabolas
        • •Solving and graphing polynomial inequalities using a sign chart
        • •Solving and graphing rational inequalities using a sign chart
        • •Direct variation
        • •Inverse variation
      • ▸Rational functions
        • •Adding and subtracting rational expressions
        • •Finding the domain and range of rational functions
        • •Graphing rational functions
        • •Asymptotes and intercepts of rational functions
        • •Graphing reciprocal functions
        • •Multiplying and dividing rational expressions
        • •Simplifying complex fractions with variables
        • •Simplifying rational expressions
        • •Simplifying square roots of rational expressions
        • •Solving literal rational equations
        • •Solving rational equations
     › Algebra 2 › Equations and inequalities › Solving exponential equations › Solving exponential equations using the one-to-one property

    Solving exponential equations using the one-to-one property: Practice

    \(2^2 = 2^x\)
    \(x = 2\)
    14180What is the property of equality with exponents and how do we use it
    Brian McLogan
    \(27^5 = 27^x\)
    \(x = 5\)
    14180What is the property of equality with exponents and how do we use it
    Brian McLogan
    \(2^{2x} = 2^6\)
    \(x = 3\)
    14180What is the property of equality with exponents and how do we use it
    Brian McLogan
    \(3^x = 3^2\)
    \(x = 2\)
    21953What is one to one property and how to use it to solve exponential and logarithmic eqn
    Brian McLogan
    \(4^{2x - 1} = 4\)
    \(x = 1\)
    15410Using the one to one property to solve a basic exponential equation
    Brian McLogan
    \(4^{2x - 3} = 4^{x + 7}\)
    \(x = 10\)
    22762Using one to one property to solve an exponential equation
    Brian McLogan
    \(9^{x - 2} = 9^{3x}\)
    \(x = -1\)
    12870Solving Exponential equations
    Brian McLogan
    \(3^x = 9\)
    \(x = 2\)
    18945Solving an exponential equation by taking the log of both sides
    Brian McLogan
    \(2^x = 4\)
    \(x = 2\)
    70815Using the One-to-One Property to Solve Exponential Equations
    ThinkwellVids
    \(8^x = 2\)
    \(x = \dfrac{2}{3}\)
    70815Using the One-to-One Property to Solve Exponential Equations
    ThinkwellVids
    \(\left(\dfrac{1}{3}\right)^x = 27\)
    \(x = -3\)
    70815Using the One-to-One Property to Solve Exponential Equations
    ThinkwellVids
    \(3^x = 243\)
    \(x = 5\)
    16833Using one to one properties to solve an exponential equation
    Brian McLogan
    \(4^x = 2^8\)
    \(x = 4\)
    20777Learning to use the one to one property to solve an exponential equation
    Brian McLogan
    \(2^x = 8^3\)
    \(x = 9\)
    14098Solving a simple equations with exponents
    Brian McLogan
    \(4^x = 16\)
    \(x = 2\)
    14802Master Solving Exponential equations without using a calculator
    Brian McLogan
    \(4^x = \dfrac{1}{16}\)
    \(x = -2\)
    14802Master Solving Exponential equations without using a calculator
    Brian McLogan
    \(\left(\dfrac{1}{2}\right)^x = 32\)
    \(x = -5\)
    14802Master Solving Exponential equations without using a calculator
    Brian McLogan
    \(\left(\dfrac{2}{3}\right)^x = \dfrac{4}{9}\)
    \(x = 2\)
    14802Master Solving Exponential equations without using a calculator
    Brian McLogan
    \(9^x = 27\)
    \(x = \dfrac{3}{2}\)
    14802Master Solving Exponential equations without using a calculator
    Brian McLogan
    \(2^{2x - 1} = 8\)
    \(x = 2\)
    14802Master Solving Exponential equations without using a calculator
    Brian McLogan
    \(125^{2x + 1} = 25\)
    \(x = \dfrac{-1}{6}\)
    14802Master Solving Exponential equations without using a calculator
    Brian McLogan
    \(8^{x + 3} = 16^{x - 1}\)
    \(x = 7\)
    14802Master Solving Exponential equations without using a calculator
    Brian McLogan
    \(16^{x - 3} = 32\)
    \(x = \dfrac{17}{4}\)
    20053Solving exponential equation the easy way one to one properties
    Brian McLogan
    \(16^{x - 1} = 64\)
    \(x = \dfrac{5}{2}\)
    41719Solve 16^(x-1) = 64 an Exponential Equation using the One-To-One Property Equating Bases
    Prof. Redden
    \(10^{x + 1} = 1000\)
    \(x = 2\)
    42275Solve 10^(x+1) = 1000 an Exponential Equation by Equating Bases
    Prof. Redden
    \(2^{x + 3} = 256\)
    \(x = 5\)
    15632Determine the same base to eliminate to solve an exponential equation
    Brian McLogan
    \(4^{3x - 3} = 8^{4x - 4}\)
    \(x = 1\)
    17119Converting an equation to the same base to solve
    Brian McLogan
    \(3^{2x + 4} = 27\)
    \(x = \dfrac{-1}{2}\)
    70814Learn how to get the same bases to solve an exponential equation
    Brian McLogan
    \(64^{x + 1} = 4\)
    \(x = \dfrac{-1}{2}\)
    70814Learn how to get the same bases to solve an exponential equation
    Brian McLogan
    \(3^{x + 2} = 27^{2x}\)
    \(x = \dfrac{2}{5}\)
    17572Using one to one property with different bases to solve an exponential equation
    Brian McLogan
    \(4^{x - 2} = 16^{2x + 5}\)
    \(x = -4\)
    22963Solving Exponential equations
    Brian McLogan
    \(4^{x - 5} = 16^{2x - 31}\)
    \(x = 19\)
    23003Using the property of equality of powers to solve an equation with exponents
    Brian McLogan
    \(5^{x - 4} = 25^{x - 6}\)
    \(x = 8\)
    16447Solving Exponential equations
    Brian McLogan
    \(5^{x + 1} = 125^x\)
    \(x = \dfrac{1}{2}\)
    19884Solving an equation using the one to one property of exponents 5^(x+1) = 125^x
    Brian McLogan
    \(100^{7x + 1} = 1000^{3x - 2}\)
    \(x = \dfrac{-8}{5}\)
    14691Solving Exponential equations
    Brian McLogan
    \(8^{x - 1} = 32^{3x - 2}\)
    \(x = \dfrac{7}{12}\)
    21869Solving Exponential equations
    Brian McLogan
    \(25^{2x + 3} = 25^{5x - 9}\)
    \(x = 4\)
    15648Solving an equation when they have the same base as an exponent
    Brian McLogan
    \(27^{x - 2} = 9^x\)
    \(x = 6\)
    70808TWO METHODS To Solve Exponential Equations | WHICH WAY TO SOLVE?
    iZAP Math
    \(9^{2x - 1} = 3^{3x + 3}\)
    \(x = 5\)
    19189How to solve an exponential equation with two different bases
    Brian McLogan
    \(125^{3x - 4} = 25^{4x + 2}\)
    \(x = 16\)
    16520How to use the same base to solve an equation with exponents
    Brian McLogan
    \(9^{-x + 5} = 27^{6x - 10}\)
    \(x = 2\)
    20975Using the equality of exponents to get the same base and solve
    Brian McLogan
    \(5^{5x} = 125^{x + 2}\)
    \(x = 3\)
    19984How do you solve an equation with exponents on both sides
    Brian McLogan
    \(9^{2x - 1} = 3^{6x}\)
    \(x = -1\)
    19291Using the property of equality to solve equations with exponents
    Brian McLogan
    \(2^{x - 3} = 32\)
    \(x = 8\)
    21440Learn how to solve an exponential equation 2^(x-3) = 32
    Brian McLogan
    \(25^{x + 3} = 5\)
    \(x = \dfrac{-5}{2}\)
    15934Using one to one property when exponents do not have the same base, 25^(x+3) = 5
    Brian McLogan
    \(9^{-x + 5} = 27^{6x - 10}\)
    \(x = 2\)
    19938Solving an equation by converting exponents to the same base
    Brian McLogan
    \(2 \cdot 3^{2x - 4} = 18\)
    \(x = 3\)
    21953What is one to one property and how to use it to solve exponential and logarithmic eqn
    Brian McLogan
    \(16^x + 2 = 6\)
    \(x = \dfrac{1}{2}\)
    14513Solving an exponential equation using the one to one property 16^x + 2 = 6
    Brian McLogan
    \(64^{2x} - 7 = 1\)
    \(x = \dfrac{1}{4}\)
    12471Learn basics for solving an exponential equation by using one to one property
    Brian McLogan
    \(40 \cdot \left(\dfrac{1}{2}\right)^{x/4} = 5\)
    \(x = 12\)
    18948Solving exponential equations using the one to one property
    Brian McLogan
    \(40 \cdot \left(\dfrac{1}{4}\right)^{x/3} = 5\)
    \(x = \dfrac{9}{2}\)
    14047Solve an exponential equation using one to one property and isolating the exponent
    Brian McLogan
    \(20 \cdot \left(\dfrac{1}{2}\right)^{x/3} = 5\)
    \(x = 6\)
    15611Solving an exponential equation using the one to one property
    Brian McLogan
    \(\left(\dfrac{2}{3}\right)^x = \dfrac{4}{9}\)
    \(x = 2\)
    12408Rewriting a exponential equation to solve using one to one properties (2/3)^x = 4/9
    Brian McLogan
    \(7^{3t} = \left(\dfrac{1}{49}\right)^{t - 5}\)
    \(t = 2\)
    70813How to Solve Exponential Equations with the Same Base FRACTIONS | THIS will HELP you SOLVE!
    iZAP Math
    \(\left(\dfrac{1}{32}\right)^{x - 1} = 8^x\)
    \(x = \dfrac{5}{8}\)
    70809How to Solve Exponential Equations with the Same Base FRACTIONS | DO THIS to FRACTIONS!
    iZAP Math
    \(\left(\dfrac{1}{27}\right)^{2x - 1} = 9^{x + 1}\)
    \(x = \dfrac{1}{8}\)
    15678Applying the one to one property to solve an equation with exponents
    Brian McLogan
    \(9^x\left(\dfrac{1}{3}\right)^{x + 2} = 27\left(3^x\right)^{-2}\)
    \(x = \dfrac{5}{3}\)
    70879Solve an Exponential Equation 1
    MathGives YouPower