What is the answer to 10^x=5^{3x+2} ?

The answer to 10^x=5^{3x+2} is x=(2ln(5))/(ln(2/25))

Solve for x: 10^x=5^{3x+2}

The solution is x=(2ln(5))/(ln(2/25))

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1 0^{x} = 5^{3 x + 2}

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

Solution steps

1 0^{x} = 5^{3 x + 2}

Apply exponent rules

x ln (10) = (3 x + 2) ln (5)

Solve

x ln (10) = (3 x + 2) ln (5) : x = \frac{2 ln ( 5 )}{ln ( \frac{2}{25} )}

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

2^{x} \cdot \frac{1}{4} = 8^{x - 1}

6 = 1 3^{w}

9^{x} - 7 \cdot 3^{x} - 18 = 0

12 (8)^{x + 1} = 24

(2^{x})^{5} = 2^{15}

What is the answer to 10^x=5^{3x+2} ?
The answer to 10^x=5^{3x+2} is x=(2ln(5))/(ln(2/25))
Solve for x: 10^x=5^{3x+2}
The solution is x=(2ln(5))/(ln(2/25))