What is the answer to 3^{5x-1}=4^{3x+6} ?

The answer to 3^{5x-1}=4^{3x+6} is x=(12ln(2)+ln(3))/(5ln(3)-6ln(2))

Solve for x: 3^{5x-1}=4^{3x+6}

The solution is x=(12ln(2)+ln(3))/(5ln(3)-6ln(2))

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3^{5 x - 1} = 4^{3 x + 6}

x = \frac{12 ln ( 2 ) + ln ( 3 )}{5 ln ( 3 ) - 6 ln ( 2 )}

Solution steps

3^{5 x - 1} = 4^{3 x + 6}

Apply exponent rules

(5 x - 1) ln (3) = (3 x + 6) ln (4)

Solve

(5 x - 1) ln (3) = (3 x + 6) ln (4) : x = \frac{12 ln ( 2 ) + ln ( 3 )}{5 ln ( 3 ) - 6 ln ( 2 )}

x = \frac{12 ln ( 2 ) + ln ( 3 )}{5 ln ( 3 ) - 6 ln ( 2 )}

(\frac{1}{16})^{x} = 64

1 0^{3 x} = 98

9 \cdot 2 7^{2 x - 4} = 81

A (t) = 30 e^{(0.02) t}

n, x = x^{\frac{1}{n}}

What is the answer to 3^{5x-1}=4^{3x+6} ?
The answer to 3^{5x-1}=4^{3x+6} is x=(12ln(2)+ln(3))/(5ln(3)-6ln(2))
Solve for x: 3^{5x-1}=4^{3x+6}
The solution is x=(12ln(2)+ln(3))/(5ln(3)-6ln(2))