Log/Exp Forms and Evaluating Logs

Front

Rewrite as a log: 5^4=625

Back

log_5(625)=4

Front

Logarithmic functions are the inverse of...

Back

Exponential Functions

Front

Rewrite log_v(n) = a in exponential form.

Back

v^a = n

Front

Change to Logarithmic Form: 12^2 = 144

Back

log_12(144) = 2

Front

Evaluate the following logarithm by converting to exponential form: log_3(⅓) = ?

Back

-1

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

Convert the logarithmic expression log_10(100) to exponential form.

Back

10^2 = 100

Front

What is the change of base formula for logarithms?

Back

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