Dec 19 warm up Logarithms and Inverses

Front

Evaluate log_b(1)

Back

0

Front

Rewrite the equation in exponential form: \log_{289}17=\frac{1}{2}

Back

289^{\frac{1}{2}}=17

Front

Write in logarithmic form: 5^2 = 25

Back

log_5 25 = 2

Front

How are exponentials and logarithms related?

Back

They're inverses

Front

Rewrite the following equation in exponential form: \log_3 81=4

Back

3^4=81

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

Back

b^y = x

Front

What is the change of base formula for logarithms?

Back

log_b(a) = \frac{log_k(a)}{log_k(b)} for any base k.

Front

What is the value of log_b(b)?

Back

1

Front

What is the value of log_b(b^k)?

Back

k