# Solving the Quadratic form Logarithmic equations Questions with solutions

The logarithmic equations should be converted into quadratic equations to solve some logarithmic equations in mathematics. The quadratic form based logarithmic equations practice examples questions worksheet with answers is given here for you and solutions to learn how to solve the log equations by converting them into quadratic form equations.

Solve $\log_{\large 5}{(x)}+\log_{\large x}{(5)}$ $\,=\,$ $\dfrac{5}{2}$

Solve $\log{(x+1)}$ $+$ $\log{(x-1)}$ $\,=\,$ $\log{8}$

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

Solve $\log_{3}{2}$ $+$ $2\log_{3}{x}$ $\,=\,$ $\log_{3}{(7x-3)}$

Solve $x$ $+$ $\log{(1+2^{\large x})}$ $=$ $x\log{5}$ $+$ $\log{6}$

Solve $\log_{5}{x}$ $+$ $\log_{5}{(x-3)}$ $\,=\,$ $\log_{5}{10}$

Solve $\log_{10}{\big(98+\sqrt{x^2-12x+36}\big)}$ $\,=\,$ $2$

Solve $\dfrac{\log{(\sqrt{x+1}+1)}}{\log{\sqrt[\Large 3]{x-40}}} \,=\, 3$

Solve $\dfrac{\log_{2}{(9-2^{\large x})}}{3-x}$ $\,=\,$ $1$

###### Math Questions

The math problems with solutions to learn how to solve a problem.

Learn solutions

Practice now

###### Math Videos

The math videos tutorials with visual graphics to learn every concept.

Watch now

###### Subscribe us

Get the latest math updates from the Math Doubts by subscribing us.