What is the answer to 5^{x+1}-5^{x-2}=620 ?

The answer to 5^{x+1}-5^{x-2}=620 is x=3

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5^{x+1}-5^{x-2}=620

5^{x + 1} - 5^{x - 2} = 620

x = 3

Solution steps

5^{x + 1} - 5^{x - 2} = 620

Factor

5^{x + 1} - 5^{x - 2} : 124 \cdot 5^{x - 2}

124 \cdot 5^{x - 2} = 620

Divide both sides by

124

5^{x - 2} = 5

Apply exponent rules

x - 2 = 1

Solve

x - 2 = 1 : x = 3

x = 3

3^{x + 1} - 4 \times 3^{x - 2} = 69

\frac{e ^{x} + 9}{e ^{- x} + 5} = 2

4 \cdot 2^{x} = 5

\frac{3 ^{x} + 3 ^{- x}}{3 ^{x} - 3 ^{- x}} = 20

4 \times e^{2.7 x} = 33

What is the answer to 5^{x+1}-5^{x-2}=620 ?
The answer to 5^{x+1}-5^{x-2}=620 is x=3
Solve for x: 5^{x+1}-5^{x-2}=620
The solution is x=3