Logarithm Questions with Solutions

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

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

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

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

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

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

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

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

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

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

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

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

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

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 Problems

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

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Difficult Problems

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

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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.

advanced logarithm problems

Logarithm Equations

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

tough logarithm problems

Logarithm Inequalities

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

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