The Log Base 10 Calculator is used to calculate the log base 10 of a number x, which is generally written as lg(x) or log 10 (x). Log Base 10. Log base 10, also known as the common logarithm or decadic logarithm, is the logarithm to the base 10. The common logarithm of x is the power to which the number 10 must be raised to obtain the value x.
Y = log10(X) returns the common logarithm of each element in array X.The function accepts both real and complex inputs. For real values of X in the interval (0, Inf), log10 returns real values in the interval (-Inf,Inf).For complex and negative real values of X, the log10 function returns complex values.
Apr 11, 2018 · Our calculators allow us to use logarithms to base 10.These are called common logarithms (" log" on a calculator).We normally do not include the 10 when we write logarithms to base 10.. We write. log x to mean log 10 x. [This is the convention used on calculators, so most math text books follow along.
An important property of base-10 logarithms, which makes them so useful in calculations, is that the logarithm of numbers greater than 1 that differ by a factor of a power of 10 all have the same fractional part. The fractional part is known as the mantissa. Thus log tables need only show the fractional part. Tables of common logarithms ...
Example #2: base 10 log of 35 Suppose you wanted to find the logarithm of 35. This is the same thing as log(3.5 * 10). The log of 3.5 is somewhere between the log of 3 and 4, but somewhat above the midpoint (since the log scale gets smaller as you go up). Log of 3 is .477 and log of 4 is .602 so we'll make a rough guess around .54 or .55 ish.