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Popular >

5^{x+1}+5^x=6

Solution

5^{x + 1} + 5^{x} = 6

Solution

x = 0

Solution steps

5^{x + 1} + 5^{x} = 6

Factor

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

6 \cdot 5^{x} = 6

Divide both sides by

6

5^{x} = 1

Apply exponent rules

x ln (5) = ln (1)

Solve

x ln (5) = ln (1) : x = 0

x = 0

Popular Examples

e^{- x} + x = 0

7^{3x+4}=49^{2x-3}

7^{3 x + 4} = 4 9^{2 x - 3}

9^{x} - 3^{x} - 2 = 0

e^{x} + x - 2 = 0

3^{1 - x} = 2

Frequently Asked Questions (FAQ)

What is the answer to 5^{x+1}+5^x=6 ?
The answer to 5^{x+1}+5^x=6 is x=0
Solve for x: 5^{x+1}+5^x=6
The solution is x=0