Logarithm

Definition of Logarithm

• For any alt="" />, if alt="" />, then Logarithm of ‘r’ to base ‘q’ is ‘p’ and it can be written as alt="" />. Log is the abbreviation for Logarithm.

Examples of Logarithm

• alt="" />
• alt="" />

More about Logarithm

• Common Logarithms: Logarithms that use 10 as the base are called common logarithms.
• Natural Logarithms: Logarithms with base ‘e’ are called common logarithms and it is written as y = ln x.
• Logarithmic Function: The inverse of Exponential Function is known as a logarithmic function.
• Logarithmic Equation: An Equation containing one or More logarithms is called a logarithmic equation.

Solved Example on Logarithm

Which one of the following expresses alt="" /> in logarithmic form?

Choices:

A. alt="" />

B. alt="" />

C. alt="" />

D. alt="" />

Correct Answer: C

Solution:

Step 1: For any alt="" />, if alt="" />, then Logarithm of ‘r’ to base ‘q’ is ‘p’ and it can be written as alt="" />.

Step2: From the definition, alt="" /> can be expressed in the logarithmic form as   alt="" />.    

Related Terms for Logarithm

• Base

Additional Links for Logarithm

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