Solving an equation with a logarithm on both sides

The video tutorial explains the relationship between exponents and logarithms, focusing on solving logarithmic equations with the same base. It covers methods for factoring quadratic equations and applying the zero product property to find solutions. The tutorial also addresses challenges when dealing with logarithms of different bases.

What are the two solutions obtained from the quadratic equation?

What should be done if the logarithms do not have the same base?