Converting between Exponents and Logs

Front

Write in logarithmic form: a^b = c

Back

log_a c = b

Front

Change to Exponential Form: log_6 36 = 2

Back

6^2 = 36

Front

Rewrite in exponential form: log_9 x = 2

Back

9^2 = x

Front

Write 3 = 7^x in log form.

Back

log_7 3 = x

Front

Logarithms are the inverse of ___________.

Back

Exponential

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

Convert log_10 1000 to exponential form.

Back

10^3 = 1000

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 log_2 8 = 3 to exponential form.

Back

2^3 = 8