3.4 Solving Logarithms

Front

Rewrite in logarithmic form: 5^3 = 125

Back

log_5 125 = 3

Front

Rewrite log_2 8 = 3 in exponential form

Back

2^3 = 8

Front

True or False: log₈ 64 = 2

Back

True

Front

Evaluate: log_4 16

Back

2

Front

Write in logarithmic form: 4^5 = 1024

Back

log_4 1024 = 5

Front

What is the definition of a logarithm?

Back

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

Front

If log_b a = c, what is the equivalent exponential form?

Back

b^c = a

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power.

Front

Evaluate: log_10 100

Back

2

Front

What is the change of base formula for logarithms?

Back

log_b a = log_k a / log_k b for any base k.