What is the answer to 3^{2x-8}=5^{2x-8} ?

The answer to 3^{2x-8}=5^{2x-8} is x=-(8ln(5)-8ln(3))/(2(ln(3)-ln(5)))

Solve for x: 3^{2x-8}=5^{2x-8}

The solution is x=-(8ln(5)-8ln(3))/(2(ln(3)-ln(5)))

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3^{2 x - 8} = 5^{2 x - 8}

x = - \frac{8 ln ( 5 ) - 8 ln ( 3 )}{2 ( ln ( 3 ) - ln ( 5 ) )}

Solution steps

3^{2 x - 8} = 5^{2 x - 8}

Apply exponent rules

(2 x - 8) ln (3) = (2 x - 8) ln (5)

Solve

(2 x - 8) ln (3) = (2 x - 8) ln (5) : x = - \frac{8 ln ( 5 ) - 8 ln ( 3 )}{2 ( ln ( 3 ) - ln ( 5 ) )}

x = - \frac{8 ln ( 5 ) - 8 ln ( 3 )}{2 ( ln ( 3 ) - ln ( 5 ) )}

4^{x} (8^{2 x - 1}) = 64

4^{2 x} = 8^{x + 3}

5^{(3 - x)} = 125

3 2^{x - 2} = 8^{\frac{x + 6}{3}}

(3^{x})^{2} = 9^{x}

What is the answer to 3^{2x-8}=5^{2x-8} ?
The answer to 3^{2x-8}=5^{2x-8} is x=-(8ln(5)-8ln(3))/(2(ln(3)-ln(5)))
Solve for x: 3^{2x-8}=5^{2x-8}
The solution is x=-(8ln(5)-8ln(3))/(2(ln(3)-ln(5)))