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vagabundo [1.1K]
4 years ago
15

What is lnx+2lny−lnz written as a single logarithm?

Mathematics
1 answer:
guajiro [1.7K]4 years ago
4 0
\ln x+2\ln y-\ln z=\ln x+\ln y^2-\ln z=\ln\dfrac{xy^2}{z}\\\\Used:\ln a+\ln b=\ln(a\cdot b}\\\\\ln a-\ln b=\ln\dfrac{a}{b}\\\\n\ln a=\ln a^n
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Jerome got in the elevator on the first floor of his office building. He went up 18 floors to his office. Then, Jerome took the
steposvetlana [31]

He starts on the 1st floor. He then goes up 18 floors:

1 + 18 = 19

He took the stairwell down 3 floors

19 - 3 = 16

He then takes the elevator down 8 floors

16 - 8 = 8

He then takes the stairwell up 5 floors for his afternoon meeting

8 + 5 = 13

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At which points are the equations y = x2 + 5x - 2 and y = x + 1 equal?
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Answer:

When they are equal, y=y, so we can say:

x^2+5x-2=x+1  subtract x from both sides

x^2+4x-2=1  add 2 to both sides

x^2+4x=3, now add half the linear coefficient squared, (4/2)^2=4

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(x+2)^2=7  now take the square root of both sides

x+2=±√7  subtract 2 from both sides

x=-2±√7

x=-2+√7 and -2-√7

y=x+1 the two points where these equations are equal are:

(-2-√7, -1-√7) and (-2+√7, -1+√7)

or approximately:

(-4.65, -3.65) and (0.65, 1.65)

4 0
3 years ago
The first two digits of Oliver's three-digit
lions [1.4K]

Answer:

127

Step-by-step explanation:

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3 years ago
Need help with math problem 5 stars and good rating if do
Tomtit [17]

Answer:

Bottom right

Explanation:

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2 years ago
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