List of top Mathematics Questions on Exponential and Logarithmic Functions asked in AP EAPCET

If for all \(x\in\mathbb{R}\), \[ \frac{1}{3} < \frac{x^2-2x+4}{x^2+2x+4} <3, \] then the values of \[ \frac{9\cdot 3^{2x}+6\cdot 3^x+4} {9\cdot 3^{2x}-6\cdot 3^x+4} \] lie between

If \[ \log_2(x-1)+\log_2(x-3)=3, \] then the value of \(x\) is

If \[ \log_a 2+\log_a 5=1, \] then the value of \(a\) is:

If \[ \log_2(x-1)+\log_2(x+1)=3, \] then \(x\) is equal to:

If \[ 4^x-3^{x-\frac{1}{2}}=3^{x+\frac{1}{2}}-2^{2x-1}, \] then \[ x= \]