If a is positive real number, other than 1 and c^{n} = m, then we say: n = logc^{m} and we say that the value of logm to the base c is n. This ths the Math Logarithm Properties.

10^{3} 1000 = log_{10} 1000 = 3.

3^{4} = 81 = log _{3} 81 = 4

(.1)^{2} = .01 = log_{(.1)} .01 = 2

Logarithm Properties :

Product Rule : log_{a} (xy) = log_{a} x + log_{a} y

Quotient Rule : log_{a} (x/y) = log_{a} x – log_{a} y

Logarithm of any quantity same base is unity i.e, log x _{X} = 1

Logarithm of 1 to any base Zero i.e, log_{a} 1 = 0

log_{a} (x^{n}) = n(log_{a}^{x})

log_{a}^{x} = 1 / log_{x} a

Change of Base Rule : log_{a}^{x} = log_{b}^{x} / log_{b}^{a} = log x / log a

log_{b} N = log_{b} a . log_{a} N, ( a > 0, a ≠ 1, N>0 )

We provide few shortcut tricks on this topic. Please visit this page to get updates on more Math Shortcut Tricks. You can also like our facebook page to get updates.

If you have any question regarding Math Logarithm Properties, then please do comment on below section. You can also send us messages on facebook. We will answer all of your doubts.

One comment

Armstrong Oheneba Einstein says:

Thanks very much for your help and innovative means to aid students in learning maths easily

If you have any questions or suggestions then please feel free to ask us. You can either comment on the section above or mail us in our e-mail id. One of our expert team member will respond to your question with in 24 hours. You can also Like our Facebook page to get updated on new topics and can participate in online quiz.

Disclaimer:

All contents of this website is fully owned by Math-Shortcut-Tricks.com. Any means of republish its content is strictly prohibited.
We at Math-Shortcut-Tricks.com are always try to put accurate data, but few pages of the site may contain some incorrect data in it. We do not assume any liability or responsibility for any errors or mistakes in those pages. Visitors are requested to check correctness of a page by their own.

Thanks very much for your help and innovative means to aid students in learning maths easily