Logarithms

Front

What is a logarithm?

Back

A logarithm is the power to which a number must be raised to obtain another number. It is the inverse operation of exponentiation.

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power. For example, in log_b(a) = c, b is the base.

Front

Evaluate log_4(16).

Back

2

Front

Rewrite log_2(8) = 3 in exponential form.

Back

2^3 = 8

Front

Evaluate log_3(27).

Back

3

Front

Evaluate log_5(5).

Back

1

Front

What is the change of base formula for logarithms?

Back

The change of base formula states that log_b(a) = log_k(a) / log_k(b) for any positive k.

Front

What is the product rule of logarithms?

Back

The product rule states that log_b(xy) = log_b(x) + log_b(y).

Front

What is the quotient rule of logarithms?

Back

The quotient rule states that log_b(x/y) = log_b(x) - log_b(y).

Front

What is the power rule of logarithms?

Back

The power rule states that log_b(x^k) = k * log_b(x).