What is the answer to 3^{2x-1}+3^{2x}=108 ?

The answer to 3^{2x-1}+3^{2x}=108 is x=2

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3^{2x-1}+3^{2x}=108

3^{2 x - 1} + 3^{2 x} = 108

x = 2

Solution steps

3^{2 x - 1} + 3^{2 x} = 108

Apply exponent rules

2 x = 4

Solve

2 x = 4 : x = 2

x = 2

1 6^{x - 1} = 64

3^{x} + 3^{x + 1} = 108

e^{x} x - 2 e^{x} = 0

6^{x} = 200

4^{x} + 4^{x - 1} - 4^{x + 1} + 44 = 0

What is the answer to 3^{2x-1}+3^{2x}=108 ?
The answer to 3^{2x-1}+3^{2x}=108 is x=2
Solve for x: 3^{2x-1}+3^{2x}=108
The solution is x=2