Question

Is solving a logarithmic equation of the form log_b (x+a)+log_b (x+c)=d why is it essential to check the solutions to the resulting quadratic equation for potential extraneous solutions to the original logarithmic equation?

Answer 1

Knowing that a quadratic equation has two possible solutions, we need to be careful when we solve exponential equations in checking for any quadratic one that appears. Due to 2 possible solutions,

Hope I helped :)