Unit 4B Test Review

Front

Rewrite log_v n = a in exponential form.

Back

v^a = n

Front

Solve the equation: 6^{x-2} + 5 = 45. Round your answer to the nearest tenths.

Back

4.1

Front

Expand log_4(3xy).

Back

log_4(3) + log_4(x) + log_4(y)

Front

Expand log(m^3/n).

Back

3log(m) - log(n)

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log_3(81) = 4

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) for any positive x and y.

Front

What is the quotient rule for logarithms?

Back

log_b(x/y) = log_b(x) - log_b(y) for any positive x and y.

Front

What is the power rule for logarithms?

Back

log_b(x^k) = k * log_b(x) for any positive x and k.