What is the answer to 3^{x-1}+3^{x+1}=90 ?

The answer to 3^{x-1}+3^{x+1}=90 is x=3

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3^{x-1}+3^{x+1}=90

3^{x - 1} + 3^{x + 1} = 90

x = 3

Solution steps

3^{x - 1} + 3^{x + 1} = 90

Factor

3^{x - 1} + 3^{x + 1} : 10 \cdot 3^{x - 1}

10 \cdot 3^{x - 1} = 90

Divide both sides by

10

3^{x - 1} = 9

Apply exponent rules

x - 1 = 2

Solve

x - 1 = 2 : x = 3

x = 3

2^{4 x} = 3 2^{x - 1}

e^{x} = e^{2 x + 1}

y, x = 3^{y + 1}

3^{x + 1} = 7^{x}

2^{5 x + 3} = 10

What is the answer to 3^{x-1}+3^{x+1}=90 ?
The answer to 3^{x-1}+3^{x+1}=90 is x=3
Solve for x: 3^{x-1}+3^{x+1}=90
The solution is x=3