What is the answer to 5^{x+1}+5^x+5^{x-1}=775 ?

The answer to 5^{x+1}+5^x+5^{x-1}=775 is x=3

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5^{x+1}+5^x+5^{x-1}=775

5^{x + 1} + 5^{x} + 5^{x - 1} = 775

x = 3

Solution steps

5^{x + 1} + 5^{x} + 5^{x - 1} = 775

Factor

5^{x + 1} + 5^{x} + 5^{x - 1} : 31 \cdot 5^{x - 1}

31 \cdot 5^{x - 1} = 775

Divide both sides by

31

5^{x - 1} = 25

Apply exponent rules

x - 1 = 2

Solve

x - 1 = 2 : x = 3

x = 3

e^{2 x} = 3

8^{x} = 2

t, A = P e^{r t}

7^{x} = 3^{x}

1 0^{x} = 0.1

What is the answer to 5^{x+1}+5^x+5^{x-1}=775 ?
The answer to 5^{x+1}+5^x+5^{x-1}=775 is x=3
Solve for x: 5^{x+1}+5^x+5^{x-1}=775
The solution is x=3