Question 68
Let $x\gt0$. Solve the equation
$$\left(\frac25\right)^{\log^2x+1}=\left(\frac{25}4\right)^{2-\log x^3}.$$
$$\left(\frac25\right)^{\log^2x+1}=\left(\frac{25}4\right)^{2-\log x^3}.$$
MathNet 2014 Question 68
Math Olympiad Vault · MathNet 2014