Find the interval where this function is defined

[drowsy apex]

Find Df

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[eager flint]

The function under the logarithm must be positive.

[cursive venture]

Solve $$3x+2xe^x - xe^{2x} > 0$$

[naive gulch]

reddington

[drowsy apex]

I know but how do i find the values for which their positive

Like i don’t know how to do the equation please show

[eager flint]

Factor out the x. The remaining is a quadratic polynomial in e^x.

[drowsy apex]

can you divide by x , even without knowing its sign

as its an inequation

[eager flint]

Don't divide by it. Factor it out.

[drowsy apex]

would you mind showing me the steps of solving this equation?

[eager flint]

Try it yourself for now. Factor out x, then factor the rest.

[cursive venture]

no, but you can say if $a*b=0$ then, $a = 0 \lor b = 0$

[naive gulch]

reddington