5^x + 25^x = 125^x
You asked:
Solve the equation \({5}^{x} + {25}^{x} = {125}^{x}\) for the variable \(x\).
MathBot Answer:
The solution is: \[x = \frac{\log{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)}}{\log{\left(5 \right)}} \approx 0.29899372\]