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Popular >

5^{x+1}+5^x=750

Solution

5^{x + 1} + 5^{x} = 750

Solution

x = 3

Solution steps

5^{x + 1} + 5^{x} = 750

Factor

5^{x + 1} + 5^{x} : 6 \cdot 5^{x}

6 \cdot 5^{x} = 750

Divide both sides by

6

5^{x} = 125

Apply exponent rules

x = 3

Popular Examples

(\frac{1}{2})^{x - 1} = 1

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

(\frac{1}{2})^{x - 1} = 8

8^{x} = 3.5

((-3.2)^5)^x=(-3.2)^{-20}

((- 3.2)^{5})^{x} = (- 3.2)^{- 20}

Frequently Asked Questions (FAQ)

What is the answer to 5^{x+1}+5^x=750 ?
The answer to 5^{x+1}+5^x=750 is x=3
Solve for x: 5^{x+1}+5^x=750
The solution is x=3