It appears that you tried to simplify by first dividing both sides by 2. However, $\displaystyle\frac{{{\ln{{2}}}{x}}}{{2}}\usepackage{cmbright}\Huge\$ is not the same as $\displaystyle{\ln{{\left(\frac{{{2}{x}}}{{2}}\right)}}}\usepackage{cmbright}\Huge\$

First you should rewrite the equation in exponential form, keeping in mind that a natural logarithm has a base of e.