What is the answer to 5^{x+1}-5^{x-1}=24 ?

The answer to 5^{x+1}-5^{x-1}=24 is x=1

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5^{x+1}-5^{x-1}=24

5^{x + 1} - 5^{x - 1} = 24

x = 1

Solution steps

5^{x + 1} - 5^{x - 1} = 24

Factor

5^{x + 1} - 5^{x - 1} : 24 \cdot 5^{x - 1}

24 \cdot 5^{x - 1} = 24

Divide both sides by

24

5^{x - 1} = 1

Apply exponent rules

(x - 1) ln (5) = ln (1)

Solve

(x - 1) ln (5) = ln (1) : x = 1

x = 1

e^{(- 2 x)} - 2 e^{- x} = 0.5

x, 2 = e^{x}

5^{(- 3 x + 6)} = 5^{(8 x + 3)}

2 (1 0^{6}) = 1 0^{6} e^{12 k}

8^{x} + 8^{x} = 2^{100}

What is the answer to 5^{x+1}-5^{x-1}=24 ?
The answer to 5^{x+1}-5^{x-1}=24 is x=1
Solve for x: 5^{x+1}-5^{x-1}=24
The solution is x=1