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Technoweenie · Answer 1 · 2023-01-05T19:31:58+0000

the Given:

The equation is,

Step-by-step explanation:

Take a natural log on both sides of the equation and simplify it.

$\begin{gathered} \ln (7^(4x-1))=\ln (3^(5x)) \\ (4x-1)\ln 7=5x\ln 3 \\ 4x\ln 7-\ln 7=5x\ln 3 \\ 4x\ln 7-5x\ln 3=\ln 7 \\ x(4\ln 7-5\ln 3)=\ln 7 \\ x=(\ln 7)/(4\ln 7-5\ln 3) \end{gathered}$

So value of x is,

$x=(\ln 7)/(4\ln 7-5\ln 3)$

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