What is the answer to 3^x*5^x=3.375 ?

The answer to 3^x*5^x=3.375 is x=(ln(3.375))/(ln(15))

Solve for x: 3^x*5^x=3.375

The solution is x=(ln(3.375))/(ln(15))

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3^{x} \cdot 5^{x} = 3.375

x = \frac{ln ( 3.375 )}{ln ( 15 )}

Decimal Notation

x = 0.44917 \dots

Solution steps

3^{x} \cdot 5^{x} = 3.375

Apply exponent rules

x ln (15) = ln (3.375)

Solve

x ln (15) = ln (3.375) : x = \frac{ln ( 3.375 )}{ln ( 15 )}

x = \frac{ln ( 3.375 )}{ln ( 15 )}

3^{2 x - 4} = 9

1000 = 1000 - 800 e^{- x}

9^{x - 2} = 2 7^{1 - x}

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

z, z = 3^{m}

What is the answer to 3^x*5^x=3.375 ?
The answer to 3^x*5^x=3.375 is x=(ln(3.375))/(ln(15))
Solve for x: 3^x*5^x=3.375
The solution is x=(ln(3.375))/(ln(15))