Question

How do we do thisss
3^-2 × 3^x = 81 ​

Answer 1

x = 6

Explanation:

Using the rule of exponents

`a^(m)` ×
`a^(n)` ⇔
`a^((m+n))` , then

`3^(-2)` ×
`3^(x)` = 81 , that is

`3^(x-2)` =
`3^(4)`

Since the bases on both sides are equal, both 3 then equate the exponents

x - 2 = 4 ( add 2 to both sides )

x = 6