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Popular >

5^x-5^{x-2}=120

Solution

5^{x} - 5^{x - 2} = 120

Solution

x = 3

Solution steps

5^{x} - 5^{x - 2} = 120

Factor

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

24 \cdot 5^{x - 2} = 120

Divide both sides by

24

5^{x - 2} = 5

Apply exponent rules

x - 2 = 1

Solve

x - 2 = 1 : x = 3

x = 3

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Frequently Asked Questions (FAQ)

What is the answer to 5^x-5^{x-2}=120 ?
The answer to 5^x-5^{x-2}=120 is x=3
Solve for x: 5^x-5^{x-2}=120
The solution is x=3