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

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 \[ x= \]