Logarithms Review

Front

Solve for x: 3^x = 27

Back

x = 3

Front

Expand: log(x^1/3 * y * z)

Back

1/3 log x + log y + log z

Front

Write as a single log: log 12 + 2 log x

Back

log (12x^2)

Front

Solve for x: 7e^(3x-5) = 49

Back

x = 2.315

Front

Expand the logarithm: log(x^3 * y^2 / z)

Back

3 log x + 2 log y - log z

Front

Define logarithm.

Back

A logarithm is the power to which a number must be raised to obtain another number.

Front

What is the base of a logarithm?

Back

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

Front

Convert the exponential equation to logarithmic form: 10^2 = 100.

Back

log(100) = 2.

Front

What is the product rule of logarithms?

Back

log_b(m * n) = log_b(m) + log_b(n).

Front

What is the quotient rule of logarithms?

Back

log_b(m / n) = log_b(m) - log_b(n).