Math Doubts

Logarithm Questions with Solutions

The practice logarithm problems with easy-to-understand, step-by-step solutions to enhance your problem-solving skills.

Evaluate $\dfrac{1}{\log_{2}{30}}$ $+$ $\dfrac{1}{\log_{3}{30}}$ $+$ $\dfrac{1}{\log_{5}{30}}$

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Solve $\log_{3}{\big(5+4\log_{3}{(x-1)}\big)}$ $\,=\,$ $2$

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Evaluate $\log{\dfrac{x^2}{yz}}$ $+$ $\log{\dfrac{y^2}{zx}}$ $+$ $\log{\dfrac{z^2}{xy}}$

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Solve $\log_{3}{(5x-2)}$ $-$ $2\log_{3}{\sqrt{3x+1}}$ $\,=\,$ $1$ $-$ $\log_{3}{4}$

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Evaluate $\log_{\sqrt{2}}{\sqrt{2\sqrt{2\sqrt{2\sqrt{2\sqrt{2}}}}}}$

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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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Evaluate $\dfrac{\log_{4}{17}}{\log_{9}{23}}$ $-$ $\dfrac{\log_{2}{17}}{\log_{3}{23}}$

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

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Evaluate $\dfrac{\log{\sqrt{27}}+\log{\sqrt{8}}-\log{\sqrt{125}}}{\log{6}-\log{5}}$

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

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Evaluate $\log_{5}{7^{\displaystyle -3\log_{7}{5}}}$

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Skill-Based Logarithm Problems

Choose your skill level in logarithms and practice example questions using logarithm identities with step-by-step solutions.

easy logarithm problems
Basic Problems

Beginner-friendly logarithm questions with step-by-step solutions to build a solid foundation.

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advanced logarithm problems
Advanced Problems

Practice higher-level problems on logarithm with detailed solutions to strengthen your skills.

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tough logarithm problems
Difficult Problems

Expert-Level logarithm exercises with step-by-step solutions to test and enhance Your skills.

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Want to Learn Logarithms Completely?

Learn logarithmic concepts from basic to advanced levels with clear, easy-to-understand examples, brought to you by Math Doubts.

Worksheets

Choose your skill level in logarithms and practice example questions using logarithm identities with step-by-step solutions.

easy logarithm problems
Logarithm Expressions

Solve logarithm expression questions with solutions to understand how to evaluate logarithmic expressions easily.

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advanced logarithm problems
Logarithm Equations

Practice logarithm questions on equations with step-by-step solutions to learn how to solve logarithmic equations.

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tough logarithm problems
Logarithm Inequalities

Solve logarithmic inequation problems with detailed solutions to understand how to evaluate and solve them.

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Do you want to Ask a Question?

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