What is the answer to 4^{5x-2}=3^{-2x+1} ?

The answer to 4^{5x-2}=3^{-2x+1} is x=(ln(48))/(2ln(96))

Solve for x: 4^{5x-2}=3^{-2x+1}

The solution is x=(ln(48))/(2ln(96))

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4^{5 x - 2} = 3^{- 2 x + 1}

x = \frac{ln ( 48 )}{2 ln ( 96 )}

Solution steps

4^{5 x - 2} = 3^{- 2 x + 1}

Apply exponent rules

(5 x - 2) ln (4) = (- 2 x + 1) ln (3)

Solve

(5 x - 2) ln (4) = (- 2 x + 1) ln (3) : x = \frac{ln ( 48 )}{2 ln ( 96 )}

x = \frac{ln ( 48 )}{2 ln ( 96 )}

4 \cdot e^{3 x - 2} = 66

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

x^{e} = e^{x}

a e^{x}

4^{3 x + 1} = 16

What is the answer to 4^{5x-2}=3^{-2x+1} ?
The answer to 4^{5x-2}=3^{-2x+1} is x=(ln(48))/(2ln(96))
Solve for x: 4^{5x-2}=3^{-2x+1}
The solution is x=(ln(48))/(2ln(96))