√5 (1/2)^(2x-4)=25^(3x)
You asked:
Solve the equation \(\sqrt{5} \cdot {\left( \frac{1}{2} \right)}^{2 x - 4} = {25}^{3 x}\) for the variable \(x\).
MathBot Answer:
The solution is: \[x = \frac{8 \log{\left(2 \right)} + \log{\left(5 \right)}}{4 \left(3 \log{\left(5 \right)} + \log{\left(2 \right)}\right)} \approx 0.32394576\]