Logarithmic Functions: Level 1 Challenges Practice Problems Online

$\large \log_7 35 + \log_7 35 - \log_7 25 = \ ?$

$\large\log_{\color{#20A900}{y}}{\color{#3D99F6}{x}}+\log_{\color{#3D99F6}{x}}{\color{#20A900}{y}}=-2$ Find the value of $\color{#3D99F6}{x}\color{#20A900}{y}.$

If $4 \log_{12} \left(x^9\right) + \log_{12} \left(x^6\right) = 126$ , find $x.$

$\frac{1}{\log_{2}{100!}}+\frac{1}{\log_{3}{100!}}+\frac{1}{\log_{4}{100!}}+\ldots+\frac{1}{\log_{100}{100!}}= \ ?$

Find the smallest number among the following numbers:

(A) $\log_{2015}2016$

(B) $\log_{2016}2017$

(C) $\log_{2017}2018$

(D) $\log_{2018}2019$

(E) $\log_{2019}2020$

Concept Quizzes

Challenge Quizzes

Logarithmic Functions: Level 1 Challenges

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.