Logarithms Review A3

Front

Rewrite log_p t = m in exponential form.

Back

p^m = t

Front

Solve for x: log_x 25 = 2

Back

x = 5

Front

Log with a base 'e' (log_e) is the same thing as...

Back

Natural Logarithm (LN)

Front

Expand log_6(5x^3/y).

Back

log_6 5 + 3 log_6 x - log_6 y

Front

Expand 3 log_8 u - 2 log_8 v.

Back

6 log_8 u - 2 log_8 v

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 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.

Front

What is the power rule for logarithms?

Back

log_b (x^n) = n * log_b x.