#### Answer

$x\approx2.115$

#### Work Step by Step

Using the properties of equality, the given equation, $
7.2^x-65=0
,$ is equivalent to
\begin{array}{l}\require{cancel}
7.2^x=65
.\end{array}
Taking the natural logarithm of both sides and using the properties of logarithms, the value of the variable that satisfies the equation, $
7.2^x=65
,$ is
\begin{array}{l}\require{cancel}
\ln7.2^x=\ln65
\\\\
x\ln7.2=\ln65
\\\\
x=\dfrac{\ln65}{\ln7.2}
\\\\
x\approx2.115
.\end{array}