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Arturiano [62]
3 years ago
11

Expand the logarithm. ln((-3e^5)/(x^3))

Mathematics
1 answer:
Valentin [98]3 years ago
7 0

Answer:

ln(3) + 5 - 3ln(x) or 6.0986 - 3ln(x)

Step-by-step explanation:

ln(\frac{3e^{5} }{x^3} )

ln(\frac{3e^{5} }{x^3} ) = ln(3e^5)-ln(x^3), since ln(x/y) = ln(x)-ln(y)

ln(3e^5) = ln(3) + ln(e^5), since ln(xy) = ln(x) + ln(y)

ln(\frac{3e^{5} }{x^3} ) = ln(3) + ln(e^5)-ln(x^3)

ln(\frac{3e^{5} }{x^3} ) = ln(3) + 5ln(e) -3ln(x), since ln(x^y) = yln(x)

ln(\frac{3e^{5} }{x^3} ) = ln(3) + 5 -3ln(x) , since ln(e)=1

if needed further simplification,

ln(3) = 1.0986

ln(e) = 1

ln(\frac{3e^{5} }{x^3} ) = 6.0986 - 3ln(x)

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Find the sale price of the item. Round to two decimal places when
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4 0
3 years ago
So this has to do with permutations and honestly I need an explanation on how I can figure these out.
AnnZ [28]
Well, the answer quite simple ....there are 4! ways to arrange these numbers...and as 4! = 4*3*2*1 = 24

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6 0
4 years ago
if the hieght and radius of the cone is tripled then find the ratio of Volume of the new cone and of that of original
solniwko [45]
\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\quad 
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h=height\\
-----\\
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\\\\\\
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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
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