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Question

What is log5? How can we find logs of numbers without using a calculator?


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Solution

Value of log5 without using a calculator:

The value of log5 can be found using the logarithmic table.

log5 can be expressed as:

log5=log102ā‡’log5=log10-log2[āˆµlogmn=logm-logn,nā‰ 0]ā‡’log5=1-log2[āˆµlog10=1]ā‡’log5=1ā€“0.3010[āˆµlog2=0.3010]āˆ“log5=0.6990

Thus, the value of log5 is 0.6990. The logs of numbers can be found using the logarithmic table.


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