LAWS OF LOGARITHMS

Front

Expand the following logarithm: log₂ 5x.

Back

log₂ 5 + log₂ x

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log₃ 81 = 4

Front

Write log_b(x/y) as two logs.

Back

log_b x - log_b y

Front

Condense the following logarithm: 3 log₂ x + 2 log₂ y – 4 log₂ z.

Back

log₂ (x³y²/z⁴)

Front

If 3^x = y, which of the following is true?

Back

log₃ y = x

Front

Define the Product Rule of Logarithms.

Back

log_b (xy) = log_b x + log_b y

Front

Define the Quotient Rule of Logarithms.

Back

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

Front

Define the Power Rule of Logarithms.

Back

log_b (x^k) = k * log_b 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

Convert log₄ 16 to exponential form.

Back

4^2 = 16