Given data:
The given expression is 2^x =20.
The given expression can be written as,
[tex]\begin{gathered} 2^x=20 \\ \ln (2^{x^{}})=\ln 20 \\ x\ln 2=\ln 20 \\ x=\frac{\ln 20}{\ln 2} \end{gathered}[/tex]
Compare the above expression with the given expression.
[tex]x=\frac{\ln a}{\ln b}[/tex]
Thus, the value of a is 20 and b is 2.
