How do you condense $5 ln x - 1/2 ln y +6 ln z$ ?

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Answer 1 · 2018-08-03T10:12:50

$In((x^5z^6)/sqrty)$

$5Inx-1/2Iny+6Inz$

$=Inx^5-Insqrty+Inz^6$

$=In(x^5/sqrty)+Inz^6$

$=In(x^5/sqrtytimesz^6)$

$=In((x^5z^6)/sqrty)$

Recall:
$aInb=Inb^a$

$Ina+Inb=In ab$

$Ina-Inb=In(a/b)$

How do you condense 5 ln x - 1/2 ln y +6 ln z 5 ln x - 1/2 ln y +6 ln z ?