Logarithm and Exponential Equations

Front

Change to Exponential Form: log₆36 = 2

Back

6² = 36

Front

Write the following equation in exponential form: log₂32 = 5

Back

2⁵ = 32

Front

Evaluate the following logarithm: log₃27

Back

3

Front

What values of b make an exponential growth function?

Back

b > 1

Front

Solve for x: logₓ25 = 2

Back

5

Front

Definition of a logarithm

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

Change to Logarithmic Form: 5² = 25

Back

log₅25 = 2

Front

What is the base of a logarithm?

Back

The base is the number that is raised to a power in a logarithmic expression.

Front

If logₐb = c, what is the equivalent exponential form?

Back

a^c = b

Front

What is the inverse of an exponential function?

Back

The inverse is a logarithmic function.