Properties of Logarithms

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log_3 81 = 4

Front

Simplify 8^(log_8 x).

Back

x

Front

What is log_3 1?

Back

0

Front

Simplify log_4 4^(3x).

Back

3x

Front

Simplify 7^(log_7 (2x)).

Back

2x

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

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 log_b b?

Back

1

Front

What is log_b 1?

Back

0

Front

If log_b a = c, what is the equivalent exponential form?

Back

b^c = a