Converting between Exponents and Logs

Front

Change to logarithmic form: 3^h = w

Back

log_3 w = h

Front

Rewrite log_3 t = 5 in exponential form.

Back

3^5 = t

Front

Convert 3^x = 12 to the equivalent log form.

Back

log_3 12 = x

Front

Logarithms are the inverse of ___________.

Back

Exponential

Front

Rewrite in exponential form: log_9 x = 2

Back

9^2 = x

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

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

Back

b^c = a

Front

What is the base in a logarithmic expression?

Back

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

Front

Convert log_5 25 = 2 to exponential form.

Back

5^2 = 25

Front

What is the change of base formula for logarithms?

Back

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