Math Doubts

Hard Logarithm Questions with solutions

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

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

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

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

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.