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ExtremeBDS [4]
3 years ago
10

Expanding logarithmic Expression In Exercise,Use the properties of logarithms to rewrite the expression as a sum,difference,or m

ultipal of logarithms.See example 3.
In 2x/(x^2 - 1)1/2
Mathematics
1 answer:
wel3 years ago
6 0

Answer:

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

Step-by-step explanation:

In 2x/(x^2 - 1)1/2

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

Apply the property of natural log

ln x^m = m ln(x) move the exponent before ln

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

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

ln(m/n)= ln m - ln n

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

multiply 1/2 inside the terms

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

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What is the value of x? Enter your answer in the box​
AfilCa [17]

Answer:

45

Step-by-step explanation:

Triangles equal up to 180 degrees therefore you do the following to solve this equation. So you have 80 and 55. So you add 80 to 55 and you get 135. Now you subtract 180 by 135 and that equals 45. So x=45. I will write it out as well.

55+80=135

180-135=45

x=45

To check.

80+55+45=180

7 0
2 years ago
Read 2 more answers
W(1,8),X(7,8),Y(4,5), and Z(1,2) select all methods you can use to prove WYZ is congruent to WYX
marin [14]
The distance between two points (x₁,y1),(x₂,y₂) is d
d= \sqrt{(x2-x1)^2 + (y2-y1)^2}

For the given problem we have
<span>W(1,8),X(7,8),Y(4,5), and Z(1,2)

The length of WY = </span>\sqrt{(4-1)^2 + (5-8)^2} = 3√2
The length of WX = \sqrt{(7-1)^2 + (8-8)^2} = 6
The length of WZ = \sqrt{(1-1)^2 + (2-8)^2} = 6
The length of XY = <span><span>\sqrt{(4-7)^2 + (5-8)^2} = 3√2
</span>The length of ZY = </span><span>\sqrt{(1-4)^2 + (2-5)^2} = 3√2

∴ WX = WZ  ⇒⇒⇒ proved
    XY = ZY   ⇒⇒⇒ proved
    WY = WY  ⇒⇒⇒ reflexive property

∴ Δ</span><span>WYZ is congruent to ΔWYX by SSS method</span>





5 0
3 years ago
How do I complete this chart?
Mrac [35]

Answer:

Step-by-step explanation:

You would first have to plug in for x, (which is already given). After plugging in for x, you would need to solve the equation to get y.

Once you have both x and y, you will have your (x,y)

For example: (given x value = -5)

f(x) = -|x - 5| -4\\f(-5) = -|(-5) - 5| - 4\\f(-5) = -|-10| - 4\\f(-5) = -10 - 4\\f(-5) = -14\\f(-5) = y = -14\\\\

so:

x = -5

y = -14

( -5, -14)

6 0
3 years ago
Which table of ordered pairs represents a proportional relationship?
Anna11 [10]

Answer: a

Step-by-step explanation: i took the test

6 0
3 years ago
A correlation of r is about .92 indicates a strong, positive correlation. True or false?
SCORPION-xisa [38]
True, 0.92 is positive and an r-value of more than or equal to 0.75 will mean it is strong
5 0
3 years ago
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