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Popular >

expand e^{4(ln|x|+C)}

Solution

expand

e^{4 (l n ∣ x ∣ + C)}

Solution

e^{4 C} x^{4}

Solution steps

e^{4 (l n ∣ x ∣ + C)}

Expand

4 (ln ∣ x ∣ + C) : 4 ln ∣ x ∣ + 4 C

= e^{4 l n ∣ x ∣ + 4 C}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= e^{4 l n ∣ x ∣} e^{4 C}

Simplify

e^{4 l n ∣ x ∣} : ∣ x ∣^{4}

= ∣ x ∣^{4} e^{4 C}

Apply absolute rule:

∣ x ∣^{4} = x^{4}

, assuming

x \in R

∣ x ∣^{4} = x^{4}

= x^{4} e^{4 C}

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Frequently Asked Questions (FAQ)

What is expand e^{4(ln|x|+C)} ?
The solution to expand e^{4(ln|x|+C)} is e^{4C}x^4