List of top Mathematics Questions on Exponential and Logarithmic Functions asked in MHT CET

Solve for \(x\): \[ x+\log_{15}(5+3^x)=x\log_{15}5+\log_{15}24 \]
Solve for \(x\): \[ x+\log_{15}(5+3^x)=x\log_{15}5+\log_{15}24 \]
Find the sum of the first 20 terms of the arithmetic progression: \( 2, 5, 8, 11, \dots \).
Find the value of \( \log_3 81 \).
Solve for \( x \): \( \log_2 (x-1) = 3 \).
If \( \log_2 x = 5 \), what is the value of \( x \)?
Find the value of \( \log_2 32 \).