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3 years ago

What is the least common multiple of 37 and 12

1 answer:

4 0

To get the Least Common Multiple (LCM) of 37 and 12 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:

37: 3712: 223 LCM: 22337The Least Common Multiple (LCM) is: 2 x 2 x 3 x 37 = 444

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Marianna [84]

The expression into a single logarithm is $log[(x)^{10}][(2)^{30}]$

Step-by-step explanation:

Let us revise some logarithmic rules

$log(a)^{n}=nlog(a)$
$log(ab)=log(a)+log(b)$
$nlog(a)+mlog(b)=log[(a)^{n}][(b)^{m}]$

∵ 10 log(x) + 5 log(64)

- At first re-write 10 log(x)

∴ 10 log(x) = $log(x)^{10}$

- Then re-write 5 log(64)

∴ 5 log(64) = $log(64)^{5}$

∴ 10 log(x) + 5 log(64) = $log(x)^{10}$ + $log(64)^{5}$

- Use the 3rd rule above to make it single logarithm

∵ $log(x)^{10}$ + $log(64)^{5}$ = $log[(x)^{10}][(64)^{5}]$

∴ 10 log(x) + 5 log(64) = $log[(x)^{10}][(64)^{5}]$

∵ 64 = 2 × 2 × 2 × 2 × 2 × 2

∴ We can write 64 as $2^{6}$

∴ $(64)^{5}=(2^{6})^{5}$

- Multiply the two powers of 2

∴ $(64)^{5}=(2)^{30}$

∴ 10 log(x) + 5 log(64) = $log[(x)^{10}][(2)^{30}]$

The expression into a single logarithm is $log[(x)^{10}][(2)^{30}]$

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

6 0

3 years ago

5/6 - 2/3 divide by 4/5

ollegr [7]

Answer:

5/24

Step-by-step explanation:

Start with the first part of the probelm 5/6 - 2/3

You need to find a common denominator of 6 and 3

common denominator= 6

so change 2/3 to 4/6

now you can subtract the top values

5/6-4/6

5-6=1

keep the denominator the same

= 1/6

Now divide 1/6 by 4/5

to divide you are going to multiply by the reciprocal so instead of 4/5 we are going to flip it to 5/4

1/6 x 5/4

5x1=5 and 6x4=24

= 5/24

8 0

3 years ago

Which number is rational? o 22 O 16

dangina [55]

Square root of 16 because it equals to 4 which is a rational number

4 0

3 years ago

I need to find the value of each variable.

antoniya [11.8K]

101 + d = 180
d = 79

91 + c = 180
c = 89

95 + a = 202
a = 107

b + 107 = 178
b = 71

8 0

4 years ago

At a large university, 20% of students are enrolled in the nursing program. The dean of students selects a random sample of 20 s

grin007 [14]

Answer:

He can select a row of the random number table and read 20 single digits between 1 and 5. He will record the number of digits that are a 1.

Step-by-step explanation:

edge 2022

3 0

3 years ago