Tutorial - Solving logarithmic equations ex 10, log(2x)+log(x-5)=2

The video tutorial explains how to apply properties of logarithms to simplify expressions and solve equations. It covers rewriting logarithmic expressions using the distributive property, converting them into exponential form, and factoring quadratic equations to find solutions. The tutorial also emphasizes checking for extraneous solutions, particularly in the context of logarithms, where the domain is restricted to positive values.

Explain why X = -5 is considered an extraneous solution in the context of logarithms.

What is the only valid solution for the equation discussed in the text?