Solve for $x$ : \[ \begin{array}{l} 6^{8 x-4}=5^{3 x-4} \\ x= \end{array} \] You may enter the exact value or round to 4 decimal place Question Help: $D$ Video Submit Question

Step 1 ：\(\ln(6^{8x-4}) = \ln(5^{3x-4})\)

Step 2 ：\((8x-4)\ln(6) = (3x-4)\ln(5)\)

Step 3 ：\(8x\ln(6) - 4\ln(6) = 3x\ln(5) - 4\ln(5)\)

Step 4 ：\(8x\ln(6) - 3x\ln(5) = 4\ln(5) + 4\ln(6)\)

Step 5 ：\(x(8\ln(6) - 3\ln(5)) = 4\ln(5) + 4\ln(6)\)

Step 6 ：\(x = \frac{4\ln(5) + 4\ln(6)}{8\ln(6) - 3\ln(5)}\)

Step 7 ：\(\boxed{x = \frac{4\ln(5) + 4\ln(6)}{8\ln(6) - 3\ln(5)}}\)