Solve for x 3^(3x-9) = 1/81.Solve for x 3^(3x-9) = 1/81.  

Expert Answers

An illustration of the letter 'A' in a speech bubbles

We have to solve 3^(3x-9) = 1/81 for x

3^(3x-9) = 1/81

=> 3^(3x-9) = 3^(-4)

as the base is the same equate the exponent

3x - 9 = -4

=> 3x = 5

=> x = 5/3

The solution is 5/3

Approved by eNotes Editorial Team