Logarithms

Front

Write in logarithmic form: 5^2 = 25

Back

log_5 25 = 2

Front

What is the base of the common logarithm?

Back

10

Front

Evaluate: 18^x = 1

Back

0

Front

What is the base of the natural logarithm?

Back

e

Front

Solve for x: 3^x = 27

Back

3

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

Convert to exponential form: log_2 8 = 3

Back

2^3 = 8

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

If log_10 100 = x, what is x?

Back

2

Front

What is the product rule for logarithms?

Back

log_b (xy) = log_b x + log_b y