What is the answer to 625(5^{x-2})-5^x=120 ?

The answer to 625(5^{x-2})-5^x=120 is x=1

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625(5^{x-2})-5^x=120

625 (5^{x - 2}) - 5^{x} = 120

x = 1

Solution steps

625 (5^{x - 2}) - 5^{x} = 120

Factor

625 \cdot 5^{x - 2} - 5^{x} : 24 \cdot 5^{x}

24 \cdot 5^{x} = 120

Divide both sides by

24

5^{x} = 5

Apply exponent rules

x = 1

12 \cdot 1.1 7^{t} = 56

5 = 8^{x}

e^{x} + e^{- x} = 2 e

3^{(6 + 3 x)} = \frac{1}{27}

2 0^{x} = 4

What is the answer to 625(5^{x-2})-5^x=120 ?
The answer to 625(5^{x-2})-5^x=120 is x=1
Solve for x: 625(5^{x-2})-5^x=120
The solution is x=1