Logarithms and Logarithmic Functions

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log_3 81 = 4

Front

Rewrite log_2 8 = 3 in exponential form.

Back

2^3 = 8

Front

Evaluate: log_2 16 = x

Back

4

Front

Simplify: e^ln7

Back

7

Front

Logarithmic functions are the inverse of...

Back

Exponential Functions

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

What is the change of base formula for logarithms?

Back

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

Front

What is the product rule of logarithms?

Back

log_b (xy) = log_b x + log_b y.

Front

What is the quotient rule of logarithms?

Back

log_b (x/y) = log_b x - log_b y.

Front

What is the power rule of logarithms?

Back

log_b (x^n) = n * log_b x.