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miskamm [114]
4 years ago
6

What is 3 log y -2 log x -4 log z written as a single logarithm

Mathematics
1 answer:
krok68 [10]4 years ago
3 0

Use rules of logarithms to condense. log ( y 3 x 2 z 4 )

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What's the answer? help asap <br>plssssss<br>Please show full explanation! ​
AURORKA [14]

Answer:

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Given,

3x - 2y = 5

xy =  - 2

Now,

(3x - 2y) {}^{2}  = (5) {}^{2}  \\

Use the algebraic identity ⇻ (a - b)² = a² - 2ab + b²

(3x - 2y) {}^{2}  = (5) {}^{2}  \\  3x {}^{2}  - 2 \times 3x \times 2y + 2y {}^{2}  = 5 {}^{2}  \\  9 {x}^{2}  - 12xy + 4y {}^{2}  = 25 \\9x {}^{2}   + 4y {}^{2} = 25 + 12xy \\  9x {}^{2}   + 4 {y}^{2}  - 1 = 24 + 12xy

✐ So, the value of 9x² + 4y² - 1 is <u>24 + 12xy</u>

Now,

xy = - 2

So, 12xy = 12 × - 2 =<u> - 24</u>

•°• 24 + 12xy

= 24 + (-24)

= 24 - 24

= <u>0</u>

<h3>⎆ The value of 9x² + 4y² - 1 is <u>0</u>.</h3>

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

4 0
3 years ago
Read 2 more answers
How many stockings would they have filled ?
vitfil [10]
Can you add a little more context
3 0
3 years ago
Read 2 more answers
Sara covers the top of a box with squares of paper that are 1 square centimeter: she uses 48 squares with 6 squares in each row.
scZoUnD [109]

Answer:

Sarah makes 8 rows of squares.

Step-by-step explanation:

Given:

Number of squares she uses = 48

Number of squares in each row = 6

We need to find the number of rows she can makes.

Solution:

Let the number of rows she can make be 'x'.

Now we can say that;

Number of rows she can make is equal to Number of squares she uses divided by number of squares in each row.

framing in equation form we get;

x=\frac{48}{6}=8\ rows

Hence Sarah makes 8 rows of squares.

5 0
3 years ago
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Which of the following numbers can be evenly divided by 4?
densk [106]
D is the answer it is divided by 4 evenly
6 0
3 years ago
If a sprinkler waters 1 over 20 of a lawn in 1 over 5 of an hour, how much time will it take to water the entire lawn?
Lubov Fominskaja [6]
Answer: C. 4 hours

Explanation: 
You first measure how long 1/5 of an hour is in which is 12 minutes. You then multiply 12 by 20 because it takes 12 minutes to get 1/20 of the lawn watered. Your answer now should be 240. Finally, divide that number by 60 because you are measuring time in hours. Your final answer should be 4 hours.
4 0
3 years ago
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