Math Doubts

Hard Logarithm Questions with solutions

By Ashok Kumar, B.E. | Fact-checked:

Once you learn logarithms clearly and gain experience in solving different example log questions, you are ready to practice our tough logarithm problems. Let’s work through our difficult logarithm problems worksheet, along with detailed solutions, to know how to solve hard logarithm problems using the logarithmic identities in mathematics.

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

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

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

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Solve $\log{\big(98+\sqrt{x^3-x^2-12x+36}\big)}$ $=$ $2$

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Ashok Kumar B.E. - Founder of Math Doubts

Ashok Kumar, B.E.

Founder of Math Doubts

A Specialist in Mathematics, Physics, and Engineering focused on helping students master difficult math topics with clarity and precision.

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