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Popular >

simplify e^{3ln|x|}

Solution

simplify

e^{3 l n ∣ x ∣}

Solution

∣ x ∣^{3}

Solution steps

e^{3 l n ∣ x ∣}

Apply exponent rule:

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

= (e^{l n ∣ x ∣})^{3}

Apply log rule:

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

e^{l n ∣ x ∣} = ∣ x ∣

= ∣ x ∣^{3}

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Frequently Asked Questions (FAQ)

What is e^{3ln|x|} ?
The solution to e^{3ln|x|} is |x|^3