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Leona [35]
3 years ago
13

Simplify log (x2-y2)- log (x-y)=

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
8 0
Using the law of logarithm.  LogA - LogB =  Log(A/B)

log(x²-y²) - log(x-y) = log((x²-y²)/(x-y))

Note by difference of two squares, (x²-y²) = (x-y)(x+y)

Simplifying (x²-y²)/(x-y) = (x-y)(x+y)/(x-y) = (x+y)

Therefore log(x²-y²) - log(x-y) = log((x²-y²)/(x-y)) = log((x-y)(x+y)/(x-y)) = log(x+y)
jok3333 [9.3K]3 years ago
3 0
<span>Remember:
log A - log B=log (A/B)
(a</span>²-b²)=(a+b)(a-b).

Therefore

log (x²-y²)-log(x-y)=log[(x²-y²)/(x-y)]= log[(x+y)(x-y)  / (x-y)]=log (x+y)

Answer: <span>log (x²-y²)-log(x-y)=<span>log (x+y)
</span></span>
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Complete the definition.
Sati [7]

Answer:

A relation has an input value which corresponds to an output value. When each input value has one and only one output value, that relation is a function. Functions can be written as ordered pairs, tables, or graphs. The set of input values is called the domain, and the set of output values is called the range.

Step-by-step explanation:

5 0
2 years ago
What is the probability of flipping exactly 6 heads when you flip 6 coins? Please explain your answer and those who waste an ans
kolbaska11 [484]

Binomial probability states that the probability of x successes on n repeated trials in an experiment which has two possible outcomes can be obtained by

(nCx).(p^x)⋅((1−p)^(n−x))

Where success on an individual trial is represented by p.

In the given question, obtaining heads in a trial is the success whose probability is 1/2.

Probability of 6 heads with 6 trials = (6C6).((1/2)^6).((1/2)^(6–6))

= 1/(2^6)

= 1/64

6 0
3 years ago
1/2 (6x-10) - x =<br><br> What's the other side of the equation?
LiRa [457]

Answer:

Step-by-step explanation:

1/2 (6x-10) - x

Opening bracket

= 6x/2 - 10/2 - x

= 3x - 5 - x

= 2x - 5

4 0
3 years ago
Solve for the value of z
zloy xaker [14]

Answer:

  26

Step-by-step explanation:

The two angles shown are a linear pair. Their sum is 180°.

  (4z -8)° +(3z +6)° = 180°

  7z = 182 . . . . . . . . . divide by °, add 2

  z = 26 . . . . . . . . . . divide by 7

3 0
3 years ago
Read 2 more answers
Find the length of the curve y = 3/5x^5/3 - 3/4x^1/3 + 6 for 1 &lt; = x &lt; = 8. The length of the curve is . (Type an exact an
Mashutka [201]

Answer:

\sqrt\frac{387}{20}

Step-by-step explanation:

Arc Length =\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^2 } } \, dx

y=\dfrac{3}{5}x^{\frac{5}{3}}-  \dfrac{3}{4}x^{\frac{1}{3}}+6

\frac{dy}{dx} =x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}}

1+(\frac{dy}{dx})^2 }=1+(x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}})^2\\=1+(x^{\frac{4}{3}}-\dfrac{1}{2}+ \dfrac{1}{16}x^{-\frac{4}{3}})

=\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}}

For the Interval 1\leq x\leq 8

Length of the Curve =\int\limits^8_1 {\sqrt{\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}} } } \, dx\\

Using T1-Calculator

=\sqrt\frac{387}{20}

3 0
3 years ago
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