What is the answer to 3^{x+2}-3^{x-2}=2160 ?

The answer to 3^{x+2}-3^{x-2}=2160 is x=5

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3^{x+2}-3^{x-2}=2160

3^{x + 2} - 3^{x - 2} = 2160

x = 5

Solution steps

3^{x + 2} - 3^{x - 2} = 2160

Factor

3^{x + 2} - 3^{x - 2} : 80 \cdot 3^{x - 2}

80 \cdot 3^{x - 2} = 2160

Divide both sides by

80

3^{x - 2} = 27

Apply exponent rules

x - 2 = 3

Solve

x - 2 = 3 : x = 5

x = 5

\frac{( 1 0 ^{4} )}{( 18.7 + 20.2 e ^{- 0.04 t} )} = 439000

((32)^{0.5})^{x} = 16

4^{n + 1} = 512 + 2^{2 n - 1}

2 5^{7} = 5^{x}

2^{r} = 100

What is the answer to 3^{x+2}-3^{x-2}=2160 ?
The answer to 3^{x+2}-3^{x-2}=2160 is x=5
Solve for x: 3^{x+2}-3^{x-2}=2160
The solution is x=5