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Algebra II
28. CC.HSF.BF.B.5
28.8 Evaluating logarithms using change-of-base formula
Evaluating logarithms using change-of-base formula
What You'll Learn
Apply the change-of-base formula to rewrite logarithms with any base
Convert logarithmic expressions into calculator-ready form using common logarithms
Evaluate logarithms with non-standard bases using a scientific calculator
Solve logarithmic equations by combining change-of-base with exponential form conversion
What You'll Practice
1
Rewriting logarithms in multiple equivalent forms using different bases
2
Calculating decimal values of logarithms with bases other than 10
3
Evaluating expressions with coefficients and complex arguments like fractions and radicals
4
Solving equations where the variable appears in the base or argument of a logarithm
Why This Matters
The change-of-base formula unlocks your calculator's full potential for logarithmic work. Since most calculators only have log base 10 and ln buttons, this formula lets you evaluate any logarithm you encounter in advanced algebra, calculus, and science courses.
Before You Start — Make Sure You Can:
This Unit Includes
7 Video lessons
Practice exercises
Skills
Change-of-Base Formula
Logarithms
Calculator Skills
Exponential Form
Equation Solving
Algebraic Manipulation
OH Curriculum Aligned