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4 years ago

Simplify this: log√24+ log6

Mathematics

1 answer:

Kitty [74]4 years ago

3 0

simplifying $log\sqrt{24}+log6$ we get $log(12\sqrt{6})$

Step-by-step explanation:

We need to simplify: $log\sqrt{24}+log6$

Solving:

Applying the rule:

log a + log b = log(ab)

$log\sqrt{24}+log6\\=log(6\sqrt{24})\\\sqrt{24} = \sqrt{2*2*2*3} =\sqrt{2^2*6} =\sqrt{2^2} \sqrt{6}=2\sqrt{6}\\ Putting\,\,value:\\=log(6*2\sqrt{6})\\=log(12\sqrt{6})$

So, simplifying $log\sqrt{24}+log6$ we get $log(12\sqrt{6})$

Keywords: Simplifying Logarithms

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For the function f(x) = |2x-7| - 3 find f(2)

olasank [31]

Evaluate abs(2 x - 7) - 3 where x = 2:abs(2 x - 7) - 3 = abs(2 2 - 7) - 3
2×2 = 4:abs(4 - 7) - 3
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Since -3<=0, then abs(-3) = 3:3 - 3
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3 years ago

Read 2 more answers

Carolina y su mamá compraron tres tortas de sabores diferentes para la reunión con sus amigos del colegio. De la torta de naranj

Karo-lina-s [1.5K]

Answer: 2 1/5 partes de torta

Step-by-step explanation:

Para contestar esta pregunta debemos sumar cada parte de torta:

0.7+9/12+6/8 =

Convertimos las fracciones en decimales, para tener todos los valores expresados de la misma forma. Dividiendo:

9/12=0.75

6/8=0.75

Sumamos :

0.7+0.75+0.75 = 2.2 partes = 2 1/5 partes

En conclusión, Carolina y sus amigos comieron 2 1/5 partes de torta.

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3 years ago

A closet contains 5 cases of laundry detergent. Each case contains 12 bottles. Each bottle contains 3 liters of detergent.

yuradex [85]

Each bottle in the case is 3 litres in capacity, we found the total number of bottles to be 60, hence the number of litres is 180 litres

<h3>Capacity of Items</h3>

Given Data

Number of Cases of Detergent = 5

Number of Bottles on the closet = 5*12 = 60 bottles

Required : the total litres

If each bottle is 3 litres in capacity and we have 60 bottles

Then the total amount in litres is

= 60*3

= 180 litres

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2 years ago

Check the add-on inside please tell me the answer.

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Answer is A.
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3 years ago

anna, becky, christina, debbie, and esther are the five candidates for student representative for the school board. two students

Flauer [41]

Probability that he will choose debbie and esther as the two representatives is 1/20 .

<h3>What is the meaning of Probability ?</h3>

Probability is the stream in mathematics in which likeliness of an event to happen is studied.

The range of probability lies between 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.

It is given that anna, becky, christina, debbie, and esther are the five candidates for student representative for the school board.

two students will be selected, and they will alternate attending the school board meetings.

all five students are equally well qualified, so the school superintendent decides to draw names at random.

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Probability of chosing debbie is 1/5

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Either of them if chosen first the probability is 1/5

and the either of them chosen second the probability is 1/4

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2 years ago

Simplify this: log√24+ log6​

Simplify this: log√24+ log6