What is the answer to (2x-5)^x=(2x-5)^{3x-4} ?

The answer to (2x-5)^x=(2x-5)^{3x-4} is x=3

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(2x-5)^x=(2x-5)^{3x-4}

(2 x - 5)^{x} = (2 x - 5)^{3 x - 4}

x = 3

Solution steps

(2 x - 5)^{x} = (2 x - 5)^{3 x - 4}

Apply exponent rules

x ln (2 x - 5) = (3 x - 4) ln (2 x - 5)

Solve

x ln (2 x - 5) = (3 x - 4) ln (2 x - 5) : x = 3

x = 3

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

(2^{x})^{3} = 8^{- x + 3}

e^{x} = 28

2 e^{x} - 9 e^{x} + 4 = 0

e^{x} = 70

What is the answer to (2x-5)^x=(2x-5)^{3x-4} ?
The answer to (2x-5)^x=(2x-5)^{3x-4} is x=3
Solve for x: (2x-5)^x=(2x-5)^{3x-4}
The solution is x=3