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log base 4* (1/16) = -2?
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\[\log_{b} M = x\] Same as: \[b ^{x} = M\] So in this case that would be correct because 4^(-2) does = 1/16
can I ask you to help with another?
Go for it.
Simplify... (Sin^3(x)+Cos^2(x)Sin(x))/(Sin^2(x)) = Sin(x)(1+Cos^2(x))
is that correct?
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Well, let's see.
I would say that it is not. Try factoring out a sinx from the numerator and see where that takes you.
\[\frac{ \sin ^{3}(x) + \cos ^{2}(x)\sin(x) }{ sinx }\] This can become: \[\frac{ sinx(\sin ^{2}x + \cos ^{2}x) }{ sinx }\]
is it 1?
Yep ^_^
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you are the best :)
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