What is the answer to 3^x*5^{x+1}=125 ?

The answer to 3^x*5^{x+1}=125 is x=(2ln(5))/(ln(15))

Solve for x: 3^x*5^{x+1}=125

The solution is x=(2ln(5))/(ln(15))

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3^{x} \cdot 5^{x + 1} = 125

x = \frac{2 ln ( 5 )}{ln ( 15 )}

Decimal Notation

x = 1.18863 \dots

Solution steps

3^{x} \cdot 5^{x + 1} = 125

Apply exponent rules

x ln (15) = ln (25)

Solve

x ln (15) = ln (25) : x = \frac{2 ln ( 5 )}{ln ( 15 )}

x = \frac{2 ln ( 5 )}{ln ( 15 )}

9^{(4 x - 5)} = 2 5^{(6 x + 2)}

e^{3 x} = \frac{1}{64}

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

e^{x} - 2 e^{- x} = 0

x, 4^{x} = 5

What is the answer to 3^x*5^{x+1}=125 ?
The answer to 3^x*5^{x+1}=125 is x=(2ln(5))/(ln(15))
Solve for x: 3^x*5^{x+1}=125
The solution is x=(2ln(5))/(ln(15))