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Free_Kalibri [48]
2 years ago
9

Rewrite the following expression as a single logarithm 2log(x+3)-3log(x-7)+5log(x-2)-log(x^2)

Mathematics
1 answer:
mixer [17]2 years ago
5 0

The rewritten form of the expression as a single logarithm is; log {(x+3)²(x-2)^5}/(x-7)³(x²).

<h3>What is the rewritten form of the expression?</h3>

The expression given in the task content can be rewritten as a single logarithm by virtue of the laws of logarithms as follows;

2log(x+3)-3log(x-7)+5log(x-2)-log(x^2)

= log(x+3)² - log(x-7)³ +log(x-2)^5-log(x^2)

= log {(x+3)²(x-2)^5}/(x-7)³(x²)

Read more on logarithm;

brainly.com/question/237321

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Licemer1 [7]

Answer:

208 ft

Step-by-step explanation:

in order to do this we need to find the area of the retangle:

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then the area of the rectangle:

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now we can plug in to find the area of the triangle, which is 12 (11.99)

then the area of the trapezium= 60

finally we can find the answer

280 - (60+12)= 208 ft :)

7 0
2 years ago
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5 0
3 years ago
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The number of girls in Mrs. Manning’s classes was 12 less than twice the number of boys. She had a total of 108 students in her
FromTheMoon [43]

40 boys and 68 girls

let's start with variables and an equation.

boys: x

girls: 2x - 12

and we know that boys and girls make up the class. so let's add the two expressions.

x + 2x - 12 = 108

3x - 12 = 108

    + 12     + 12

3x = 120

x = 40 boys

BUT x is only the number of BOYS in the class. so we have to find girls now. let's plug in our value of x into the girls' equation.

2x - 12 = # of girls

2(40) -12 = # of girls

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68 girls

let's check our answer!

68 + 40 does in fact add to 108, therefore our answer is correct.

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3 years ago
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3 years ago
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iragen [17]

Answer:

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The given number is 1.15. Here, the digits after the decimal are terminating, so the given number is rational, NOT irrational. Thus, 1.15 is NOT an irrational number.

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