Intro to Logarithms

Front

What is a logarithm?

Back

A logarithm is the power to which a number (the base) must be raised to obtain another number. For example, log_b(a) = c means b^c = a.

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power. In log_b(a), b is the base.

Front

Convert log_2(8) = 3 to exponential form.

Back

2^3 = 8.

Front

Evaluate log(1/100).

Back

-2.

Front

Convert log_p(t) = m to exponential form.

Back

p^m = t.

Front

Evaluate log_64(4).

Back

1/3.

Front

Convert 2^6 = 64 to logarithmic form.

Back

log_2(64) = 6.

Front

What is the change of base formula for logarithms?

Back

log_b(a) = log_k(a) / log_k(b), where k is any positive number.

Front

What is the product rule for logarithms?

Back

log_b(xy) = log_b(x) + log_b(y).

Front

What is the quotient rule for logarithms?

Back

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