What is the answer to 3^{x-1}+3^x+3^{x+1}=351 ?

The answer to 3^{x-1}+3^x+3^{x+1}=351 is x=4

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3^{x-1}+3^x+3^{x+1}=351

3^{x - 1} + 3^{x} + 3^{x + 1} = 351

x = 4

Solution steps

3^{x - 1} + 3^{x} + 3^{x + 1} = 351

Factor

3^{x - 1} + 3^{x} + 3^{x + 1} : 13 \cdot 3^{x - 1}

13 \cdot 3^{x - 1} = 351

Divide both sides by

13

3^{x - 1} = 27

Apply exponent rules

x - 1 = 3

Solve

x - 1 = 3 : x = 4

x = 4

12 8^{x} = 4 \times 2^{x}

3 x^{2} e^{- x} - x^{3} e^{- x} = 0

7^{x + 1} = 1

7^{x - 2} = 3^{2 - x}

3^{x + 5} = 4

What is the answer to 3^{x-1}+3^x+3^{x+1}=351 ?
The answer to 3^{x-1}+3^x+3^{x+1}=351 is x=4
Solve for x: 3^{x-1}+3^x+3^{x+1}=351
The solution is x=4