inverses of logarithms

Front

What is the first step to find the inverse of a function?

Back

Switch x and y.

Front

How are exponentials and logarithms related?

Back

They are inverses.

Front

Simplify log₂(2⁸).

Back

8.

Front

What is the inverse of y=9^x?

Back

y=log₉(x).

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 base of a logarithm?

Back

The base is the number that is raised to a power in a logarithmic expression.

Front

If logₐ(b) = c, what does this mean in exponential form?

Back

a^c = b.

Front

What is the logarithmic form of the equation 10^2 = 100?

Back

log₁₀(100) = 2.

Front

What is the inverse of the logarithmic function y=logₐ(x)?

Back

y=a^x.

Front

What is the change of base formula for logarithms?

Back

logₐ(b) = logₓ(b) / logₓ(a) for any base x.