Learn logarithms easily from basics to advanced level for both beginners and advanced learners.

A mathematical approach of calculating the number of multiplying factors when a number is split as number of multiplying factors on the basis of another number is called logarithm.

Knowledge on exponents is required to study the logarithms.

The concept of exponents is used to express any number as another number raised to the power of number of multiplying factors.

$2^3 = 2 \times 2 \times 2 = 8$

Logarithm is used for inverse operation and it determines the number of multiplying factors when a number is split on the basis of another number.

$\log_{2}{8} = 3$

There are seven fundamental logarithm rules and learn all log properties with proofs.

List of most recently solved mathematics problems.

Jul 04, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \,\to\, \tan^{-1}{3}} \normalsize {\dfrac{\tan^2{x}-2\tan{x}-3}{\tan^2{x}-4\tan{x}+3}}$

Jun 23, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \to 0} \normalsize \dfrac{e^{x^2}-\cos{x}}{x^2}$

Jun 22, 2018

Integral Calculus

Evaluate $\displaystyle \int \dfrac{1+\cos{4x}}{\cot{x}-\tan{x}} dx$

Jun 21, 2018

Limit

Evaluate $\displaystyle \large \lim_{x \to \infty} \normalsize {\sqrt{x^2+x+1}-\sqrt{x^2+1}}$

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