In order to solve logarithmic equations, you will take advantage of base-10 logarithms and the powers of ten cancelling each other out. For example, an equation in the form can be solve using this method.
Solving for logarithms
Isolate the logarithm with the unknown variable so that it is by itself on the right or left-hand side.
Change both sides to exponents that use as the base
Because the left and right hand side of the equation need to be equal, raised by the value on the left hand side should be equal to raised to the right hand side. This is used in order to cancel out the logarithms. So both sides are rewritten in base :