...hundred. Write down -5 _ 52 2 is the logarithm of 25 to the base 5. The logarithm of a number is denned as the index of the power to which the base must be raised in order to equal the given number. Thus if we are told that 3 is the logarithm of a thousand to the...

...(b) division into subtraction, (c) involution into multiplication, and (d) evolution into division. The logarithm of a number to a given base is the index of the power to which the base must Iie raised in order to give the number. Thus 4- =16, and 10s =1,000; then 2 is the logarithm of 1G...

...(d) evolution into division. The logarithm of a number to a given base Loe Log THE ENCYCLOPEDIA OF is the index of the power to which the base must be raised in order to give the number. Thus 42= 16, and 103= 1,000; then 2 is the logarithm of 16 to the base...

...figures the values of: 1. -$tT. 2. 2-7 x 3.9 x 4-6. 3. 290 x ./37. *. * • 5. (-079)'-:- (-0098)3. 200. The logarithm of a number to a given base is the index of the power to which the base must be raised to equal the given number ; ie if a" = x, y is the logarithm of x to base a. This is written ?/ = logax....

...log2 = l-0711. In logarithms, all numbers are expressed as the powers of some number called the base. The logarithm of a number to a given base is the index showing the power to which that base must be raised to give the number. Let N denote any number, and...

...are so related that ax = и, then x is called the logarithm of n to the base a ; that is, a logarithm is the index of the power to which the base must be raised to obtain the given number. This relation is denoted symbolically by writing x = Iog0 n, and is read "a;...

...so related that a* = и, then x is called the logarithm of n to the base о ; that is, a logarithm is the index of the power to which the base must be raised to obtain the given number. This relation is denoted symbolically by writing x = logo n, and is read "x...

...so related that «* = n, then x is called the log«rithm of n to the base « ; that is, a logarithm is the index of the power to which the base must be raised to obtain the given number. This relation is denoted symbolically by writing x = loga », and is read...

...found approximately from this graph when the index is between 0 and 10. Definition of a logarithm. The logarithm of a number to a given base is the index of the power to which the base must be raised to equal the number. Thus 32 = 9, therefore the logarithm of 9 to base 3 equals 2 ; this is written Iog3...

...Logarithms. — The usual plan is to begin with a definition, — " The logarithm of a number to some chosen base is the index of the power to which the base must be raised in order to be equal to the number." At this stage such a definition is useless, for it implies that...