Unit 10 Test Review Logarithms

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log_3 81 = 4

Front

What is the base of the common logarithm?

Back

10

Front

Expand the following logarithm: log_2 (6/y)

Back

log_2 6 - log_2 y

Front

What is the value of y in the equation log_2(1/8) = y?

Back

y = -3

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 a = c, what does this mean in exponential form?

Back

b^c = a

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^p) = p * log_b x