2007-02-08 19:50:04 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
log5(1/5)=?
log5= -(1/5)
since log5 = -(1/5) the value is = -1 the principles of Logarithm is that anything to the base of log is equal to 1 and since log5 is equivalent to (1/5) it's just simply -1
thus log 5(1/5) is = -1
2007-02-08 20:51:42 · answer #1 · answered by kittana 6 · 0⤊ 0⤋
By laws of logarithms, log(a/b) = log a - log b
Thus log(1/5) = log5(1) - log5 (5) = 0 - 1 = - 1
2007-02-09 04:59:56 · answer #2 · answered by Como 7 · 0⤊ 0⤋
Let log (1/5) base 5 = x
so 5^x = 1/5
5^x = (5)^-1
thus
x = -1 ( Comparing the powers)
2007-02-09 04:28:25 · answer #3 · answered by @rrsu 4 · 1⤊ 0⤋
-1
2007-02-09 05:52:35 · answer #4 · answered by Anonymous 2 · 0⤊ 0⤋
-1. Equivalently, 5^(-1) = 1/5.
2007-02-09 03:54:15 · answer #5 · answered by Anonymous · 0⤊ 0⤋
logn(a/b)=logn(a) - logn(b) and logn(a*b)=logn(a) + logn(b).
2007-02-09 03:58:50 · answer #6 · answered by agent-X 6 · 0⤊ 0⤋