inverses of logarithms

Front

Logarithms are the inverse of ___________.

Back

Exponential

Front

Find the inverse of y=9^x.

Back

y=log_9 x

Front

How are exponentials and logarithms related?

Back

They're inverses.

Front

Simplify: log_2 2^8 = ?

Back

8

Front

What is the base of a logarithm?

Back

The number that is raised to a power to obtain a given value.

Front

If log_b a = c, what does this mean?

Back

b^c = a.

Front

What is the logarithm of 1 in any base?

Back

0.

Front

What is the logarithm of the base itself?

Back

1.

Front

Convert the exponential equation 2^3 = 8 to logarithmic form.

Back

log_2 8 = 3.

Front

What is the change of base formula for logarithms?

Back

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