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

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justaguide eNotes educator| Certified Educator

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