8.1 - Connecting Exp and Log Functions

Front

What is the exponential form of log₂ 0.25 = -2?

Back

2^-2 = 0.25

Front

Rewrite 3⁴ = 81 in logarithmic form.

Back

log₃ 81 = 4

Front

Change to Exponential Form: log₆ 36 = 2

Back

6² = 36

Front

Rewrite in logarithmic form: 6² = 36

Back

log₆ 36 = 2

Front

Write in logarithmic form: 5² = 25

Back

log₅ 25 = 2

Front

What is the definition of a logarithm?

Back

A logarithm is the power to which a number must be raised to obtain another number.

Front

What is the base of a logarithm?

Back

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

Front

Convert log₁₀ 100 = 2 to exponential form.

Back

10² = 100

Front

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

Back

b^c = a

Front

What is the change of base formula for logarithms?

Back

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