14^x=91
$$\small{\text{
$
\begin{array}{rcl}
14^x &=& 91 \quad | \quad \ln() \\
\ln(14^x) &=& \ln(91) \\
x\cdot \ln(14) &=& \ln(91) \\\\
x &=& \dfrac{\ln(91)} { \ln(14)} \\\\
x &=& \dfrac{4.51085950652} { 0.32220425047} \\\\
x &=& 1.70926923637
\end{array}
$
}}$$
$$14^{1.70926923637} = 91$$
or
$$\small{\text{
$
\begin{array}{rcl}
14\cdot x &=& 91 \\\\
x = \dfrac{91}{14} \\\\
x = 6.5
\end{array}
$
}}$$
$$14\cdot 6.5= 91$$
14^x=91
$$\small{\text{
$
\begin{array}{rcl}
14^x &=& 91 \quad | \quad \ln() \\
\ln(14^x) &=& \ln(91) \\
x\cdot \ln(14) &=& \ln(91) \\\\
x &=& \dfrac{\ln(91)} { \ln(14)} \\\\
x &=& \dfrac{4.51085950652} { 0.32220425047} \\\\
x &=& 1.70926923637
\end{array}
$
}}$$
$$14^{1.70926923637} = 91$$
or
$$\small{\text{
$
\begin{array}{rcl}
14\cdot x &=& 91 \\\\
x = \dfrac{91}{14} \\\\
x = 6.5
\end{array}
$
}}$$
$$14\cdot 6.5= 91$$