Question

How do you solve `27 = 1/(3^x)`?

Answer 1

`x = -3`

Explanation:

In this exponential equation, 27 is a power of 3.

Write each side at powers with the same base.

`3^3 = 1/3^x`

`1/3^(-3) = 1/3^x`

If the two sides are equal and the two bases are equal, the two indices must be equal.

`-3 = x`