...called) must be the same as those connecting indices. In general : The logarithm of a number to a certain base is the index of the power to which the base must be raised to equal the number. It is not necessary to understand the theory of logs to be able to use them for ordinary...

...Wright's translation of Napier's Description that, * Since a logarithm of a number to a given base is the power to which the base must be raised to give the number (so that the logarithm of 8 to the base 2 is 3, since a3 = 8) logarithms obey the laws of exponents,...

...taken at random from a modern textbook: The logarithm of a number to a given base, assumed positive, is the index of the power to which the base must be raised in order to equal the number. [4, p. 316] But this kind of thing may not bring enlightenment to all...

...ordinary numbers. Logarithms are given to a particular BASE. The LOGARITHM of a number to a given BASE is the POWER to which the BASE must be raised to give the number, ie if / is a number and x is the BASE, y = x" where n is the LOGARITHM of y to the BASE x; eg the LOGARITHM...

...ordinary numbers. Ix>garithms are given to a particular base. The logarithm of a number to a given base is the power to which the base must be raised to give the number, ie if y is a number and .v is the base, y = x* where n is the loganthm of y to the base AY e.%. the...

...raising any number to a power. Summary The logarithm of a number to a given base is the exponent/index of the power to which the base must be raised to give the number. Exercise 4.4 1. Find the following: 2. Solve for x: a) log2 4 a) log5x = 2 b) Iog7 7 b) \og3x = 3 c)...

...numbers, such that as = n, then (x) is called the logarithm of (n) to the base (a) and is written log.n. The logarithm of a number to a given base is the index of the power to which the base must be raised that it may be equal to the given number. Example: Since 102 = 100, therefore 2 =log10100. 434. Laws...

...1 and a* = y, then we define the logarithm of у to the base a asx and write logay=x. 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. Illustrations :...

...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...

...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...