Question

Solve (3^p times 81 = 9) for p

Answer 1

Answer:

p = -2

Step-by-step explanation:

Start by dividing both sides by 81 to get the power by itself.

$3^p \cdot 81 = 9\\\\3^p=\frac{9}{81}=\frac{1}{9}$

Write the fraction using a power of 3.

$3^p=\frac{1}{3^2}\\\\3^p=3^{-2}\\\\p=-2$

This assumes you know about negative exponents:  $a^{-n}=\frac{1}{a^n}$