Question #c2837

2 Answers
Alan P.
Sep 19, 2016

#x=color(green)(1/2)#

Explanation:

If
#color(white)("XXX")10xe^x-5e^x=0#
since
#color(white)("XXX")e^"any power" > 0#

We can divide (both sides of)the given equation by #5e^x# to get
#color(white)("XXX")2x-1=0#

From which we can see that
#color(white)("XXX")x=1/2#

Jim G.
Sep 19, 2016

#x=1/2#

Explanation:

There is a common factor of #e^x# which can be taken out.

#rArre^x(10x-5)=0#

#rArre^x=0,10x-5=0#

but #e^x≠0" thus no solution"#

and #10x-5=0rArrx=1/2" is the only solution"#

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