2006-12-11 10:09:50 · 3 answers · asked by Porcel18 1 in Science & Mathematics ➔ Mathematics
2(log base 5 (18)-log base 5 (3) + (1/2) log base 5 (1/16))
= 2( log base 5 (6) + log base 5 (1/4))
= 2 log base 5 3/2
2(log base 5 (18)-log base 5 (3)) + (1/2) log base 5 (1/16)
= 2log base 5 (6) + log base 5 (1/4))
= log base 5 (6^2/4) = log base 5 (9)
2006-12-11 10:27:37 · answer #1 · answered by James Chan 4 · 0⤊ 0⤋
if by this you mean
2log(5)18 - log(5)3 + (1/2)log(5)(1/16)
log(5)(18^2) - log(5)3 + log(5)((1/16)^(1/2))
log(5)(324) - log(5)3 + log(5)(1/4)
log(5)((324 * (1/4))/3)
log(5)((324/4)/3)
log(5)(81/3)
log(5)27
if that is what you meant, then my answer is correct, and i have checked it.
2006-12-11 19:31:32 · answer #2 · answered by Sherman81 6 · 0⤊ 0⤋
2(log base 5 (18/3)+
logbase5(1^1/2/16^1/2))=
2(logbase5(6) +logbase5(1/4))
=2(logbase5(6*1/4))
=2(logbase5(3/2))
=logbase5(3^2/2^2)
=logbase5(9/4) or 2logbase5(3/2)
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if you want to find answer using calculator using equal base law
logbase10(9/4)/logbase10(5)
=0.5038592728
*logbase10 is the calculator base standard
2006-12-11 18:11:10 · answer #3 · answered by Zidane 3 · 0⤊ 1⤋