How To Solve Log Equations With The Same Base. Convert to same base if necessary. In this tutorial i show you how to solve equations where the unknown is a power by using the power rule for logarithms.
To solve a logarithmic equation with a logarithm on one side, you first need to get the logarithm by itself (we'll do an example so you see what we mean). We now have only two logarithms and each logarithm is on opposite sides of the equal sign and each has the same base, 10 in this case. Log2(36−x2) = 4 l o g 2 ( 36 − x 2) = 4.
Hit it with the inverse!
Look back at the original. Solving exponential equations using logarithms. With the same base then the problem can be solved by simply dropping the logarithms. If not, go to step 2.