Mathematics 1 Deneme Sınavı Sorusu #1231277

Find the solution set of the equation 0=6+e2x - 5ex


(2,3)

(ln2, 3)

(2, ln3)

(ln2, ln3)

(ln1, ln4)


Yanıt Açıklaması:

0=6+e2x - 5ex

0=(ex - 3)(ex - 2)

So the system has 2 roots:

ex - 3=0 then ex=3 so x=ln3

ex - 2=0 then ex=2 so x=ln2

Therefore solution set is (ln2, ln3)

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