Solving Algebraic form Logarithmic equations with Different bases Questions with solutions

In the logarithms, solving the logarithmic equations in algebraic form quantities with different bases is one type of logarithm questions. So, a worksheet with examples on solving the log equations in algebraic form with different bases is given here with answers for practice and solutions to learn how to solve the log equations in algebraic form with different bases by the logarithmic rules.

Solve $2\log_{\large x}{a}$ $+$ $\log_{\large ax}{a}$ $+$ $3\log_{\large a^2x}{a}$ $\,=\,$ $0$