How to find \log of any number? | Filo
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Class 11

Math

Algebra

Relations and Functions II

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How to find of any number?

Solution:

Always Remember these three properties of logarithm;

and

Sometimes, When there is no log table around you, the only thing you got is your mind.Here is a method which can be used to calculate the logarithm of a number if there is no log table to use.This is also helpful if the number is too large to be calculated by a calculator.First of all, remember the following basic log values (its no harm to remember these even if you have log table).

these four values can be applied to calculate the log of any number (size does not matter).

and the formula is,

This is a main method to find any log value.

For example,

by using

Now applying the formula;

it comes out to be 2.867 which is the log value for .

now this technique can be applied to find the log of any number.

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