Inverse / Log Review

Front

What is the inverse of the function y = 1/4x - 7?

Back

y = 4x + 28

Front

Find the inverse of f(x) = 3x + 2.

Back

f^{-1}(x) = \frac{x - 2}{3}

Front

If y = x + 5, what is the inverse?

Back

y = x - 5

Front

Solve the equation: \log_x 169 = 2.

Back

x = 13

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

\log_3 81 = 4

Front

What is the definition of an inverse function?

Back

An inverse function reverses the operation of the original function, such that if f(x) = y, then f^{-1}(y) = x.

Front

How do you find the inverse of a linear function?

Back

To find the inverse of a linear function, swap x and y, then solve for y.

Front

What is the logarithmic form of an exponential equation?

Back

If a^b = c, then \log_a c = b.

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 given number.

Front

What is the change of base formula for logarithms?

Back

\log_a b = \frac{\log_c b}{\log_c a} for any base c.