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45 votes
45 votes
How do we do thisss
3^-2 × 3^x = 81 ​

User Loungerdork
by
2.8k points

1 Answer

8 votes
8 votes

Answer:

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

User Dah Sra
by
2.9k points