How to solve an exponential equation with unlike bases

Step-by-step explanation:

Solving Exponential Equations with Different Bases.

Step 1: Determine if the numbers can be written using the same base. If so, stop and use Steps for

Solving an Exponential Equation with the Same Base. If not, go to Step 2.

Step 2: Take the common logarithm or natural logarithm of each side.

Step 3: Use the properties of logarithms to rewrite the problem. Specifically, use Property 5 which

says

Step 4: Divide each side by the logarithm.

Step 5: Use a calculator to find the decimal approximation of the logarithms.

Step 6: Finish solving the problem by isolating the variable.