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

7^{q} = 49

2000 = 1000 e^{0.09 x}

4^{x} = 1 6^{2 x + 9}

(0.1)^{- 4 x + 5} = 100

1.09 6^{t} = 3.5333

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