We have already seen that every logarithmic equation is equivalent to the exponential equation We can use this fact along with the rules of logarithms to solve logarithmic equations where the argument is an algebraic expression. Using the Definition of a Logarithm to Solve Logarithmic Equations. 0 undef ined.
Sometimes the methods used to solve an equation introduce an extraneous solution which is a solution that is correct algebraically but does not satisfy the conditions of the original equationOne such situation arises in solving when the logarithm is taken on both sides of the equation.
Deciding How to Solve Logarithmic Equation When asked to solve a logarithmic equation such as or the first thing we need to decide is how to solve the problem. Solve for x in the equation Ln x 8. 0 undef ined. A c bc a.