5.4 Logarithmic Functions

Front

What is the value of log₄1?

Back

0

Front

Rewrite log₂8 = 3 in exponential form.

Back

2³ = 8

Front

Write in logarithmic form: 2^-4 = ¹/₁₆.

Back

log₂(¹/₁₆) = -4

Front

Rewrite 3⁴ = 81 in logarithmic form.

Back

log₃81 = 4

Front

Rewrite in logarithmic form: 7⁰=1.

Back

log₇1=0

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

What is the change of base formula for logarithms?

Back

log_ba = log_ka / log_kb for any base k.

Front

What is the value of log₁₀10?

Back

1

Front

What is the value of log₂16?

Back

4

Front

What is the product rule for logarithms?

Back

log_b(xy) = log_bx + log_by.