Regroup terms.
\[e\imath rangl\times {181}^{t}={13}^{8}\]
Divide both sides by \(e\).
\[\imath rangl\times {181}^{t}=\frac{{13}^{8}}{e}\]
Divide both sides by \(\imath \).
\[rangl\times {181}^{t}=\frac{\frac{{13}^{8}}{e}}{\imath }\]
Simplify \(\frac{\frac{{13}^{8}}{e}}{\imath }\) to \(\frac{{13}^{8}}{e\imath }\).
\[rangl\times {181}^{t}=\frac{{13}^{8}}{e\imath }\]
Divide both sides by \(r\).
\[angl\times {181}^{t}=\frac{\frac{{13}^{8}}{e\imath }}{r}\]
Simplify \(\frac{\frac{{13}^{8}}{e\imath }}{r}\) to \(\frac{{13}^{8}}{e\imath r}\).
\[angl\times {181}^{t}=\frac{{13}^{8}}{e\imath r}\]
Divide both sides by \(a\).
\[ngl\times {181}^{t}=\frac{\frac{{13}^{8}}{e\imath r}}{a}\]
Simplify \(\frac{\frac{{13}^{8}}{e\imath r}}{a}\) to \(\frac{{13}^{8}}{e\imath ra}\).
\[ngl\times {181}^{t}=\frac{{13}^{8}}{e\imath ra}\]
Divide both sides by \(n\).
\[gl\times {181}^{t}=\frac{\frac{{13}^{8}}{e\imath ra}}{n}\]
Simplify \(\frac{\frac{{13}^{8}}{e\imath ra}}{n}\) to \(\frac{{13}^{8}}{e\imath ran}\).
\[gl\times {181}^{t}=\frac{{13}^{8}}{e\imath ran}\]
Divide both sides by \(g\).
\[l\times {181}^{t}=\frac{\frac{{13}^{8}}{e\imath ran}}{g}\]
Simplify \(\frac{\frac{{13}^{8}}{e\imath ran}}{g}\) to \(\frac{{13}^{8}}{e\imath rang}\).
\[l\times {181}^{t}=\frac{{13}^{8}}{e\imath rang}\]
Divide both sides by \(l\).
\[{181}^{t}=\frac{\frac{{13}^{8}}{e\imath rang}}{l}\]
Simplify \(\frac{\frac{{13}^{8}}{e\imath rang}}{l}\) to \(\frac{{13}^{8}}{e\imath rangl}\).
\[{181}^{t}=\frac{{13}^{8}}{e\imath rangl}\]
Use Definition of Common Logarithm: \({b}^{a}=x\) if and only if \(log_b(x)=a\).
\[t=\log_{181}{(\frac{{13}^{8}}{e\imath rangl})}\]
t=log(181,13^8/(e*IM*r*a*n*g*l))
