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Popular >

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

Solution

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

Solution

x = 1

Solution steps

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

Factor

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

Popular Examples

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(\frac{1}{8})^{5 x} = 3 2^{x + 8}

2^{2x-3}=5^{2-x}

2^{2 x - 3} = 5^{2 - x}

9^x+3=4\times 3^x

9^{x} + 3 = 4 \times 3^{x}

2^{x+1}=3^{2-2x}

2^{x + 1} = 3^{2 - 2 x}

Frequently Asked Questions (FAQ)

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