Question

Solve 2^x = 20 for x. Express your answer in terms of the common log (NOT as a decimal).

Answer 1

Given data:

The given expression is 2^x =20.

The given expression can be written as,

`\begin{gathered} 2^x=20 \\ \ln (2^{x^{}})=\ln 20 \\ x\ln 2=\ln 20 \\ x=(\ln 20)/(\ln 2) \end{gathered}`

Compare the above expression with the given expression.

`x=(\ln a)/(\ln b)`

Thus, the value of a is 20 and b is 2.