Posted by **Anonymous** on Thursday, August 2, 2007 at 2:38pm.

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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