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How do you evaluate $e^{ln 3}$ $e^ln3$ ?

1 Answer

Oct 27, 2016

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

Explanation:

Remember $e (c) = a$ $e(c)=a$ means $ln (a) = c$ $ln(a)=c$

Therefore
$XXX e^{ln (3)} = a$ $color(white)("XXX")e^(ln(3))=a$ means
$XXX ln (a) = ln (3)$ $color(white)("XXX")ln(a)=ln(3)$
$\to XXX a = 3$ $rarrcolor(white)("XXX")a=3$

but $a = e^{ln (3)}$ $a=e^(ln(3))$

so
$XXX e^{ln (3)} = 3$ $color(white)("XXX")e^(ln(3))=3$

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