What is the answer to 125^{9x-2}=150 ?

The answer to 125^{9x-2}=150 is x=(ln(150)+6ln(5))/(27ln(5))

Solve for x: 125^{9x-2}=150

The solution is x=(ln(150)+6ln(5))/(27ln(5))

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12 5^{9 x - 2} = 150

x = \frac{ln ( 150 ) + 6 ln ( 5 )}{27 ln ( 5 )}

Decimal Notation

x = 0.33752 \dots

Solution steps

12 5^{9 x - 2} = 150

Apply exponent rules

(9 x - 2) ln (125) = ln (150)

Solve

(9 x - 2) ln (125) = ln (150) : x = \frac{ln ( 150 ) + 6 ln ( 5 )}{27 ln ( 5 )}

x = \frac{ln ( 150 ) + 6 ln ( 5 )}{27 ln ( 5 )}

3 6^{x} \cdot 6^{x^{2}} = 129 6^{2}

e^{5 x} = 0

y, e^{x y} = y

7^{2 x + 1} = 3^{x + 3}

9^{x} \cdot 3^{x^{2}} = 8 1^{2}

What is the answer to 125^{9x-2}=150 ?
The answer to 125^{9x-2}=150 is x=(ln(150)+6ln(5))/(27ln(5))
Solve for x: 125^{9x-2}=150
The solution is x=(ln(150)+6ln(5))/(27ln(5))