...Logarithms constructed to the base 10 are called, for the sake of distinction, common logarithms. Hence, the common logarithm of a number is the index of the power of 10 which is equal to that number. The only other base to which logarithms have ever been constructed,...

...Hence, as x may be any positive number, and y its logarithm, we arrive at the conclusion, that the logarithm of a number is the index of the power to which the base of the system must be raised to produce that number. Thus, in the common logarithms, m which...

...1 ; then e 1. S + 1.2.8 and if x = 1, we get __ + _ + _ + = 2-718281828459. THEORY OF LOGARITHMS. A logarithm of a number is the index of the power to which a given quantity must be raised that the power may be equal to the number. Thus, if the power a" be...

...on. But the best method of considering logarithms is derived from the following definition : — A logarithm of a number is the index of the power to which a given quantity must be raised so as to be equal to that number. Tims in the equation a* = n, x is...

...unity Ъе taken as a base, every number from 0 to зэ may be regarded as a power of that base. The " Logarithm" of a number is the index of the power to which the base must be raised to produce that number. If 4 be the base, then 42 = 16) And these equalities...

...64? What 256? 4. What power of 10 equals 10? What power of 10 equals 1? What 100? What 1000? 352. The Logarithm of a number is the index of the power to which a constant number must be raised to produce the given number. Thus, when 4 is the constant number,...

...of the ratios] ; Base of L. ; Brigg's L. ; Common L. ; Hyperbolic L. ; Naperian L. ; Table of L. The logarithm of a number is the index of the power to which a given number (or bast} must be raised to equal that number. Thus, to the base io, the L. of looo...

...multiplication, division, and extraction of roots are replaced by simpler processes. 63. Definition of Common Logarithms. The common logarithm of a number is the index of the power to which 10 must be raised in order to be equal to the number. Thus to every number greater or less than unity...

...United States, in Indiana, at the junction of the Wabash and Eel rivers. Pop. 16,'J04. Log'arithmB. The common logarithm of a number is the index of the power to which 10 must be raised to be equal to the number. Thus 103 = 1000, so that the logarithm of 1000 (usually...

...logarithms the following definition commonly in use should be clearly and definitely impressed. The logarithm of a number is the index of the power to which the base of the system must be raised to equal a given number. This can be done by having the pupil...