List of top Mathematics Questions on Exponential and Logarithmic Functions asked in JEE Advanced

Let \(a=3\sqrt2\) and \(b=\frac{1}{5^{1/6}\sqrt5}\). If x, y ∈ R are such that
\(3x+2y=\log_a(18)^{\frac{5}{4}}\) and
\(2x-y=\log_b(\sqrt{1080})\), 
then 4x + 5y is equal to _______.
If $ 3^x = 4^{ x - 1} $ then x is equal to