What are all solutions of exponential equation 3^(x-1)+3^x=36?

1 Answer | Add Yours

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

We have to find the solutions of the equation: 3^(x-1)+3^x=36

3^(x-1)+3^x=36

=> 3^x/3 + 3^x = 36

=> (4/3)*3^x = 36

=> 3^x = 36*3/4

=> 3^x = 27

as 3^3 = 27 we have x = 3

The solution of the equation is x = 3

We’ve answered 318,980 questions. We can answer yours, too.

Ask a question