Question

Solve the inequality x^2e^xln(x)>0

Answer 1

\[x ^{2}e ^{x}\ln x>0\]

Answer 2

@FutureMathProfessor

Answer 3

what are the 0's?

Answer 4

what do you mean by 0's?

Answer 5

what values of x make the left side 0?

Answer 6

if x =0 then the whole left side is 0, and ln 1= 0

Answer 7

also, what is the domain? What values of x are allowed?

Answer 8

including imaginary numbers?

Answer 9

i'd say no...

Answer 10

only real numbers

Answer 11

all real numbers?

Answer 12

nope...

Answer 13

okay so for x^2 all real numbers work, so does e^x , I'm not sure about ln x

Answer 14

break it up... any issues with x^2?
any issues with e^x?
any issues with ln x?

Answer 15

very good... remember the domain of ln x is x>0

Answer 16

what are the zeros of each of those?

Answer 17

x=0 for x^2
x= 1 for ln x

Answer 18

good. so we can draw a number line and see what happens in the different regions...