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Popular >

5^{x+1}=5^x+100

Solution

5^{x + 1} = 5^{x} + 100

Solution

x = 2

Solution steps

5^{x + 1} = 5^{x} + 100

Subtract

5^{x}

from both sides

5^{x + 1} - 5^{x} = 5^{x} + 100 - 5^{x}

Simplify

5^{x + 1} - 5^{x} = 100

Factor

5^{x + 1} - 5^{x} : 4 \cdot 5^{x}

4 \cdot 5^{x} = 100

Divide both sides by

4

5^{x} = 25

Apply exponent rules

x = 2

Popular Examples

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9 e^{\frac{- x}{2}} + 12 e^{\frac{- x}{6}} = 0

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2^{2x+1}-33(2^{x-1})+4=0

2^{2 x + 1} - 33 (2^{x - 1}) + 4 = 0

5^{x-3}+125^{x+3}=78125

5^{x - 3} + 12 5^{x + 3} = 78125

2^{3000} = 1 0^{x}

Frequently Asked Questions (FAQ)

What is the answer to 5^{x+1}=5^x+100 ?
The answer to 5^{x+1}=5^x+100 is x=2
Solve for x: 5^{x+1}=5^x+100
The solution is x=2