...the logarithm of N to the base a, and is denoted by loga N (read "logN to the base a"). [In words: The logarithm of a number to a given base is the index of the power to which the base must be raised to equal that number.] Example: We know that 3" = 8 1 . Therefore 4 is the logarithm of 8 1 to the base...

...then we define the logarithm ofy to the base a as x and write loge y = x. V •¿ V ¿ Equivalently, the logarithm of a number to a given base is the index or the power to which the base must be raised in order to obtain the given number. V V illustrations...

...application of logarithms, a thorough knowledge of indices and laws governing them is essential. DEFINITION ' The logarithm of a number to a given base is the index or the power to which the base must be raised to produce the number, Le., to make it equal to the given...

...rule of shorten arithmetic'. Logarithm was invented by a renowned mathematician John Napier in 1614 AD "The logarithm of a number to a given base is the index to power to which the base must be raised so as to be equal to her given number". Thus, if a1 = N,...

...58 67 62 64 74 69 74 71 70 67 74 71 APPENDIX - I USE OF LOGARITHMIC TABLES DEFINITION OF LOGARITHM The logarithm of a number to a given base is the Index or the power to which the base must he raised to obtain that number. In other words, ifa* = b, where...

...logarithm of Jf to the base a and is written logaN. The logarithm of a number to a given base is therefore the index of the power to which the base must be raised that it may be equal to the given number. Ess. Since 102 = 100, therefore 2 = log^ 100. Since 10" =...