Math Doubts

Solving the Quadratic form Logarithmic equations Questions with solutions

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

Ashok Kumar B.E. - Founder of Math Doubts

Ashok Kumar, B.E.

Founder of Math Doubts

A Specialist in Mathematics, Physics, and Engineering with 14 years of experience helping students master complex concepts from basics to advanced levels with clarity and precision.