Basic Log Rules

Front

What is the value of log(10^R)?

Back

R

Front

Evaluate: log_4(1)

Back

0

Front

Write the equation in logarithmic form: 4^4 = 256

Back

log_4(256) = 4

Front

Evaluate the following logarithm: log_5(5)

Back

1

Front

What base does the common logarithm have?

Back

10

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) = log_k(a) / log_k(b) for any base k.

Front

Evaluate: log_10(100)

Back

2

Front

What is the value of log_a(a)?

Back

1