Use Product Rule : \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{f}^{2}{\imath }^{4}n{d}^{p}{r}^{2}{m}^{2}{e}^{2}{x}^{p}\log_{3}{(x+6)}=3\]
Use Fourth Power Rule : \({i}^{4}={i}^{2}{i}^{2}=(-1)(-1)=1\).
\[{f}^{2}\times 1\times n{d}^{p}{r}^{2}{m}^{2}{e}^{2}{x}^{p}\log_{3}{(x+6)}=3\]
Simplify \({f}^{2}\times 1\times n{d}^{p}{r}^{2}{m}^{2}{e}^{2}{x}^{p}\log_{3}{(x+6)}\) to \({f}^{2}n{d}^{p}{r}^{2}{m}^{2}{x}^{p}{e}^{2}\log_{3}{(x+6)}\).
\[{f}^{2}n{d}^{p}{r}^{2}{m}^{2}{x}^{p}{e}^{2}\log_{3}{(x+6)}=3\]
Regroup terms.
\[{e}^{2}{f}^{2}n{d}^{p}{r}^{2}{m}^{2}{x}^{p}\log_{3}{(x+6)}=3\]
Divide both sides by \({e}^{2}\).
\[{f}^{2}n{d}^{p}{r}^{2}{m}^{2}{x}^{p}\log_{3}{(x+6)}=\frac{3}{{e}^{2}}\]
Divide both sides by \({f}^{2}\).
\[n{d}^{p}{r}^{2}{m}^{2}{x}^{p}\log_{3}{(x+6)}=\frac{\frac{3}{{e}^{2}}}{{f}^{2}}\]
Simplify \(\frac{\frac{3}{{e}^{2}}}{{f}^{2}}\) to \(\frac{3}{{e}^{2}{f}^{2}}\).
\[n{d}^{p}{r}^{2}{m}^{2}{x}^{p}\log_{3}{(x+6)}=\frac{3}{{e}^{2}{f}^{2}}\]
Divide both sides by \({d}^{p}\).
\[n{r}^{2}{m}^{2}{x}^{p}\log_{3}{(x+6)}=\frac{\frac{3}{{e}^{2}{f}^{2}}}{{d}^{p}}\]
Simplify \(\frac{\frac{3}{{e}^{2}{f}^{2}}}{{d}^{p}}\) to \(\frac{3}{{e}^{2}{f}^{2}{d}^{p}}\).
\[n{r}^{2}{m}^{2}{x}^{p}\log_{3}{(x+6)}=\frac{3}{{e}^{2}{f}^{2}{d}^{p}}\]
Divide both sides by \({r}^{2}\).
\[n{m}^{2}{x}^{p}\log_{3}{(x+6)}=\frac{\frac{3}{{e}^{2}{f}^{2}{d}^{p}}}{{r}^{2}}\]
Simplify \(\frac{\frac{3}{{e}^{2}{f}^{2}{d}^{p}}}{{r}^{2}}\) to \(\frac{3}{{e}^{2}{f}^{2}{d}^{p}{r}^{2}}\).
\[n{m}^{2}{x}^{p}\log_{3}{(x+6)}=\frac{3}{{e}^{2}{f}^{2}{d}^{p}{r}^{2}}\]
Divide both sides by \({m}^{2}\).
\[n{x}^{p}\log_{3}{(x+6)}=\frac{\frac{3}{{e}^{2}{f}^{2}{d}^{p}{r}^{2}}}{{m}^{2}}\]
Simplify \(\frac{\frac{3}{{e}^{2}{f}^{2}{d}^{p}{r}^{2}}}{{m}^{2}}\) to \(\frac{3}{{e}^{2}{f}^{2}{d}^{p}{r}^{2}{m}^{2}}\).
\[n{x}^{p}\log_{3}{(x+6)}=\frac{3}{{e}^{2}{f}^{2}{d}^{p}{r}^{2}{m}^{2}}\]
Divide both sides by \({x}^{p}\).
\[n\log_{3}{(x+6)}=\frac{\frac{3}{{e}^{2}{f}^{2}{d}^{p}{r}^{2}{m}^{2}}}{{x}^{p}}\]
Simplify \(\frac{\frac{3}{{e}^{2}{f}^{2}{d}^{p}{r}^{2}{m}^{2}}}{{x}^{p}}\) to \(\frac{3}{{e}^{2}{f}^{2}{d}^{p}{r}^{2}{m}^{2}{x}^{p}}\).
\[n\log_{3}{(x+6)}=\frac{3}{{e}^{2}{f}^{2}{d}^{p}{r}^{2}{m}^{2}{x}^{p}}\]
Divide both sides by \(\log_{3}{(x+6)}\).
\[n=\frac{\frac{3}{{e}^{2}{f}^{2}{d}^{p}{r}^{2}{m}^{2}{x}^{p}}}{\log_{3}{(x+6)}}\]
Simplify \(\frac{\frac{3}{{e}^{2}{f}^{2}{d}^{p}{r}^{2}{m}^{2}{x}^{p}}}{\log_{3}{(x+6)}}\) to \(\frac{3}{{e}^{2}{f}^{2}{d}^{p}{r}^{2}{m}^{2}{x}^{p}\log_{3}{(x+6)}}\).
\[n=\frac{3}{{e}^{2}{f}^{2}{d}^{p}{r}^{2}{m}^{2}{x}^{p}\log_{3}{(x+6)}}\]
n=3/(e^2*f^2*d^p*r^2*m^2*x^p*log(3,x+6))
