Logarithm(log, lg, ln)
If b = ac <=> c = logab
a, b, c are real numbers and b > 0, a > 0, a ≠ 1
a is called "base" of the logarithm.
Example: 23 = 8 => log28 = 3
the base is 2.
There are standrart notation of the logarithm if the base is 10 or e.
logeb = ln b
Graphs of logarithmic functions
It shows that when x = 1, log = 0; when x -> 0 => log -> -∞; when x -> ∞ log -> ∞
loga(b.c) = logab + logac
loga(b/c) = logab - logac
logabn = n.logab
logba = 1/logab
logbc = logac/logab
logab = logac <=> b = c
If you have any question go to our forum about logarithms.