2^4x+1=3^x
You asked:
Solve the equation \({2}^{4} \cdot x + 1 = {3}^{x}\) for the variable \(x\).
MathBot Answer:
The 2 solutions to the equation are: \[\begin{aligned}x &= \frac{0.0686632680417568557122028273076578565404619037172 - \frac{\log{\left(3 \right)}}{16}}{\log{\left(3 \right)}} \approx -5.6945902 \cdot 10^{-42}\\x &= \frac{4.17673368981980086263485263320930212260495985063 - \frac{\log{\left(3 \right)}}{16}}{\log{\left(3 \right)}} \approx 3.7393268\end{aligned}\]