math
posted by Anonymous .
I am suppose to simplify the following problems:
sqrt(x)/x
(isn't that already simplified?)
e^(1+lnx)
(I have no clue.)
ln(1/2)
(I know this problem translates> e^x=1/2> but how would you solve it w/o a calculator?)
e^(3lnx)
([e^(lnx^3)]> is it equal to 3?)
sqrt(x)/x
(isn't that already simplified?)
I agree with you.
you could do this: x^(1/2)/x
= x(1/2)
= 1/√x but that is certainly not simpler.
e^(1+lnx)
(I have no clue.)
e^(1+lnx)
=(e)(e^lnx)
=e(x) = ex
n(1/2)
(I know this problem translates> e^x=1/2> but how would you solve it w/o a calculator?)
ln(1/2)
= ln 1  ln 2
= 0  ln 2
= ln 2
e^(3lnx)
([e^(lnx^3)]> is it equal to 3?)
yes, based on the fact that a^(log_{a} k = k
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