Solving Exponential Equations using Logarithms

To solve an exponential equation:

    1) Isolate the exponential expression.

    2) Take the logarithms of both sides.

    3) Solve for the variable.

  

Example 1:

Solve for x: 2x = 12

           

Example 2:

Solve for x: 8(10x) = 12

                

Example 3:

Solve for x: e5x= 30