Math 3 Exam Review Unit 2

Front

What is the value of n in the equation 5^(3-2n) = 125?

Back

n = 0

Front

Solve for x: 4^x - 5 = 12.

Back

x = 2.044

Front

Evaluate log_3(81).

Back

4

Front

Write in logarithmic form: 5^2 = 25.

Back

log_5(25) = 2

Front

An organism can grow from 30 to 195 organisms in 5 hours. What is the growth rate?

Back

45.4%.

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 exponential form of the equation log_b(a) = c?

Back

a = b^c.

Front

What is the product rule for logarithms?

Back

log_b(MN) = log_b(M) + log_b(N).

Front

What is the quotient rule for logarithms?

Back

log_b(M/N) = log_b(M) - log_b(N).