2^4x+1=3^x

asked by guest
on Nov 14, 2024 at 3:08 pm



You asked:

Solve the equation 24x+1=3x{2}^{4} x + 1 = {3}^{x} for the variable xx.

MathBot Answer:

The 2 solutions to the equation are: x=0.0686632680417568557122028273076578565404619037172−log⁡(3)16log⁡(3)≈−5.6945902⋅10−42x=4.17673368981980086263485263320930212260495985063−log⁡(3)16log⁡(3)≈3.7393268\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}

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