Precalculus - Converting & Evaluating Logarithms & Exponential

Front

Evaluate log₅25

Back

2

Front

Write in exponential form: log₂32 = 5

Back

2⁵ = 32

Front

Write in exponential form: log₃₆1 = 0

Back

36⁰ = 1

Front

Evaluate log₄1

Back

0

Front

Solve for x: log₄x = 3

Back

64

Front

Definition: Logarithm

Back

The logarithm is the inverse operation to exponentiation, answering the question: to what exponent must a base be raised to produce a given number?

Front

Definition: Exponential Form

Back

An expression where a number is raised to a power, represented as bⁿ where b is the base and n is the exponent.

Front

Property: log_b(xy) = ?

Back

log_bx + log_by (Product Property of Logarithms)

Front

Property: log_b(x/y) = ?

Back

log_bx - log_by (Quotient Property of Logarithms)

Front

Property: log_b(xⁿ) = ?

Back

n * log_bx (Power Property of Logarithms)