inverses of logarithms

Front

What is the first step to find the inverse of a function?

Back

Switch x and y.

Front

How are exponentials and logarithms related?

Back

They're inverses.

Front

What is the inverse of the logarithmic function log_b(x)?

Back

The inverse is b^x.

Front

What does log_b(b^x) equal?

Back

x.

Front

What is the value of log_2(2^8)?

Back

8.

Front

If y = log_b(x), what is the equivalent exponential form?

Back

b^y = x.

Front

What is the base of a logarithm?

Back

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

Front

What is the logarithmic identity log_b(1)?

Back

0.

Front

What is the logarithmic identity log_b(b)?

Back

1.

Front

If log_b(x) = y, what can you say about x?

Back

x = b^y.