TOC
Courses
Blog
Twitch
Shop
Search

Courses
Blog
Subreddit
Discord
Log in
Sign up

▾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 › Logarithms

Approximating logarithms

Students will learn how to bound a logarithm between two positive integers.

Lessons and practice problems