simplify e^{2ln|x|}

Solution

simplify

e^{2 l n ∣ x ∣}

x^{2}

Solution steps

e^{2 l n ∣ x ∣}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

= (e^{l n ∣ x ∣})^{2}

Apply log rule:

a^{l o g_{a} (b)} = b

e^{l n ∣ x ∣} = ∣ x ∣

= ∣ x ∣^{2}

Apply absolute rule:

∣ x ∣^{2} = x^{2}

, assuming

x \in R

∣ x ∣^{2} = x^{2}

= x^{2}

\frac{1}{3} \div \frac{4}{9}

(10 + 6 i) - (- 9 + i)

\frac{9 2}{2}

(3 x + 1) (2 x - 5)

\frac{\frac{x ^{2} + 10 x + 16}{x ^{2} + 6 x + 8}}{\frac{1}{x + 4}}