Which is equivalent to 2log(x) - log(y)
a) log(x^2/y)
b) log(x/y)^2
c) log(x^2*y)
d) log(xy)^2
2007-07-16 08:06:05 · 5 answers · asked by mizzy o 1 in Science & Mathematics ➔ Mathematics
(a) log(x^2 / y)
because:
log(x^2) = 2log(x)
and
log(a / b) = log(a) - loog(b).
2007-07-16 08:11:44 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Log Equivalents
2016-12-15 11:56:50 · answer #2 · answered by ? 4 · 0⤊ 0⤋
Logarithms have the unique property that
log(x) + log(y) = log(x*y)
and
log(x)-log(y) = log(x/y).
Also, 2log(x) = log(x^2)
therefore
2log(x)-log(y)
= log(x^2) - log(y)
= log((1/y)*x^2)
(a)
2007-07-16 08:12:49 · answer #3 · answered by Not Eddie Money 3 · 0⤊ 0⤋
a
2007-07-16 08:13:25 · answer #4 · answered by miggitymaggz 5 · 0⤊ 0⤋
a)
2007-07-16 08:11:43 · answer #5 · answered by santmann2002 7 · 2⤊ 0⤋