What are the three laws of logarithms?
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calendarEducator since 2010
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There are many laws of logarithms, I do not know which three you are referring you.
Here are a few laws that are commonly used:
log(a*b) = log a + log b, used while multiplying numbers
log(a/b) = log a - log b, used while dividing numbers
log(a^n) = n*log a, used to find the power of a number
log(a) b = [log(c) b] / [log(c) a], used to change the base of the log from a to c
log(b) a = 1/ log(a) b
log(a) a = 1
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calendarEducator since 2008
write3,662 answers
starTop subjects are Math, Science, and Social Sciences
Law 1:
log x + log y = log (x*y)
Example:
log 2 + log 5 = log (2*5) = log 10 = 1
Law 2:
log x - log y = log x/y
Example:
log 100 - log 10 = log 100/10 = log 10 = 1
Law 3:
log x^a = a* log x
Example:
log 100 = log 10^2 = 2*log 10 = 2*1 = 2