Review test on FRIDAY

Front

Write in exponential form: log_2(32) = 5

Back

2^5 = 32

Front

Which of the following is the quotient rule of logarithms?

Back

log_b(\frac{x}{y}) = log_b(x) - log_b(y)

Front

Solve for x: 25^{x+3} = 5^{5x-9}

Back

x = 5

Front

Solve for x: 5^{-3x - 1} = 25

Back

x = -1

Front

Solve for x: log_4(3x-1) = log_4(2x+3)

Back

x = 4

Front

Define logarithm.

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a certain value.

Front

State the product rule of logarithms.

Back

log_b(xy) = log_b(x) + log_b(y)

Front

State the power rule of logarithms.

Back

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

Front

Convert the logarithmic equation log_10(100) = 2 to exponential form.

Back

10^2 = 100