Solving Logarithmic Equations

Example 1:

Solve for $x$ : ${\log }_{3}x=4$

$\begin{array}{l}{3}^4=x\\ x=81\end{array}$

Example 2:

Solve for $x$ : $\ln x=3$

$\begin{array}{l}{e}^3=x\\ x\approx 20.086\end{array}$

Example 3:

Solve for $x$ : ${\log }_{10}(x-3)=2$

${10}^2=x-3$

$100=x-3$

$x=103$