How to Use a Table of Logarithms |
Common terms and phrases
back from 7.23 base e bers between 1.000 co-logarithm colog common logarithms computations curve for base discarded figures amount E. V. HUNTINGTON equivalent to 3/10ths example EXPONENT express the given find the logarithm find the missing find the number four figures four-place table FRANCIS PEABODY MAGOUN given log given logarithm given number Hence interpolation larger logarithm larger number 2.98 last place little practice log denom log fract'n log numer log10 N loga logarithm is called logarithm means logarithmic curve logarithms to base loge loge N logex mantissa marginal table shows missing number nearest entry negative whole number number between 1.000 number corresponding number is equal number less obtained performed only mentally positive decimal fraction positive number produce that number raised to produce required number rithm smaller logarithm smaller number 7.22 standard form table is log table log table of logarithms taking the logarithm theorems units are equivalent
Popular passages
Page 2 - The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator; thus, M logs ^y = logs M - logs N.
Page 2 - The logarithm of the nth power of a number equals n times the logarithm of the number. 4. The logarithm of the nth root of a number equals 1/n times the logarithm of the number. 3. Common
Page 4 - All questions concerning the position of the decimal point are readily answered if each number is expressed in the "standard form," that is, as the product of two factors, one of which is a number with only one figure preceding the decimal point, while the other is a positive or negative power of 10. Thus, 3.1416 X 10s means 3.1416 with the point moved three places to the right, that is, 3141.6.
Page 2 - The key point in this analysis is that the operation of multiplication is replaced by the simpler operation of addition when we work with the logarithms of numbers, rather than with the numbers themselves.
Page 7 - In practice this is done mentally by beginning at the left and subtracting each digit from 9, except the last significant digit, which is subtracted from 10.
Page 2 - ... log (ab) = log a + log b, (3) log (an) = n log a, (2) log f 5 ) = log a - log b; (4) log ( "Va) = 1 log a.
Page 5 - The fractional part of a logarithm is called the mantissa, and the whole-number part the characteristic of the logarithm.