Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
81^3(x+1)=9^2(x-1) Solve this equation by expressing both sides as powers of 3.Asked by Anonymous
81^3(x+1)=9^2(x-1)
Solve this equation by expressing both sides as powers of 3.
Solve this equation by expressing both sides as powers of 3.
Answers
Answered by
Steve
No need to go to powers of 3, since 81 = 9^2.
(9^2)^(3x+3) = 9^(2x-2)
so,
6x+6 = 2x-2
x = -2
(9^2)^(3x+3) = 9^(2x-2)
so,
6x+6 = 2x-2
x = -2