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Charra [1.4K]
3 years ago
9

2 ln(x + 2) − ln(−x) = 0

Mathematics
1 answer:
enyata [817]3 years ago
6 0

Answer:

x=-1

Step-by-step explanation:

Rewrite the equation using the next propierties:

log(\frac{1}{x} )=-log(x)

ylog(x)=log(x^{y} )

log(x*y)=log(x)+log(y)

ln((x+2)^2)+ln(\frac{-1}{x} )=0\\ln(\frac{(x+2)^2}{-x})=0

Cancel logarithms by taking exp of both sides:

\frac{(x+2)^2}{-x} =e^{0} =1

Multiplying both sides by -x and factoring:

x^{2} +5x+4=0

Factoring:

(x+1)(x+4)=0

The solutions are:

x=-1\hspace{3}or\hspace{3}x=-3

Evaluating x=-4

2ln(-2)-(4)=0

This is an absurd because ln(x) is undefined for x\leq 0

Evaluating x=-1

2ln(1)-ln(1)=0\\0-0=0

Which is correct, hence the solution is:

x=-1

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jeka94

Answer:

The answer to your question is x = 2

Step-by-step explanation:

To solve this problem just count the number of x and the number of numbers ONE on each side of the equation.

- There are three "x"

- There are 4 number one on the left side equation

- There are 10 number one one the right side of the equation

Equation

                   3x + 4 = 10

Solve for x

                   3x = 10 - 4

                   3x = 6

                     x = 6/3

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8 0
3 years ago
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Her the
Otrada [13]

Answer:

13. m∠MN + m∠NMP = m∠MP.

14. m∠NMP - m∠OMP = m∠NMO.

~

15. x = 3 + y and -2y + 3 < -1 : Given

16. x > y : x = 3 + y

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19. x > 2 : x = 3 + y and y > 2

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5 0
2 years ago
Mrs. O'Neill had nine times as many markers as colored pencils the total number of markers and colored pencils is 110 how many c
tamaranim1 [39]

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3 years ago
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3 years ago
Eleanor and max used two rectangular wooden boards to make a set for the school play.one board was 6 feet long and the other boa
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By definition, the area of a rectangle is:

A = w * l

Where,

w: width of the rectangle

l: length of the rectangle

The total area is given by:

A = A1 + A2

Where,

A1: rectangular wooden board 1

A2: rectangular wooden board 2

Substituting we have:

60 \frac{3}{8} = (6) (w) + (5\frac{1}{2}) (w)

Rewriting we have:

\frac{483}{8} = (6) (w) + (\frac{11}{2}) (w)

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Answer:

The width is given by:

w = 5 \frac{1}{4}

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