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expand and simplify as much as possible:

log5(x63y^2)^3 *the 5 is subscript, fyi

i get confused because its raised to the 3rd power. i can get as far as 3log5x+2log5y and i dont know where to go from there, any help please. thanks alot.

2006-12-14 12:46:22 · 2 answers · asked by loveboatcaptain 5 in Science & Mathematics Mathematics

oops the "6" in the equation is supposed to be ^. sry if it messed u up.

2006-12-14 12:49:19 · update #1

its supposed to be x^3 not 63

2006-12-14 12:49:52 · update #2

2 answers

log5(x^3y^2)^3 = log5(x^9y^6) = log5(x^9)+log5(y^6) =
9 log5(x) + 6 log5 (y)

OR
log5(x^3y^2)^3 = 3 log5(x^3y^2) = 3 * (log5(x^3) + log5(y^2)) =
3 * (3 log5(x) + 2 log5(y)) = 9 log5(x) + 6 log5(y)

2006-12-14 12:57:31 · answer #1 · answered by feanor 7 · 0 0

3log5(x^3y^2)
3log5(x^3)+3log5(y^2)
6log4(x)+5log5(y)

2006-12-14 12:54:57 · answer #2 · answered by crossndunk 3 · 0 1

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