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How do you simplify $e^{3 ln (x)}$ $e^[3ln(x)]$ ?

2 Answers

Jun 17, 2016

$x^{3}$ $x^3$

Explanation:

You can write:

$e^{3 ln x} = {(e^{ln x})}^{3}$ $e^(3lnx)=(e^lnx)^3$
$= x^{3}$ $=x^3$

Jun 17, 2016

$x^{3}$ $x^3$

Explanation:

$e^{3 ln (x)}$ $e^(3ln(x))$

Knowing the property of $a ln (b) = ln (b^{a})$ $aln(b)=ln(b^a)$
$= e^{ln (x^{3})}$ $=e^ln(x^3)$
$= x^{3}$ $=x^3$

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