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