〖27〗^(3x+2)/〖82〗^x =3^4
You asked:
Solve the equation \(\frac{{27}^{3 x + 2}}{{82}^{x}} = {3}^{4}\) for the variable \(x\).
MathBot Answer:
The solution is: \[x = - \frac{2 \log{\left(3 \right)}}{- \log{\left(82 \right)} + 9 \log{\left(3 \right)}} \approx -0.4008955\]