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3 years ago

:,) I forgot how to do integers, i really need help, I appreciate it <3

Mathematics

1 answer:

Marat540 [252]3 years ago

7 0

Answer:

prhWJNGRVJNALD

Step-by-step explanation:

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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

Dinner was 29.00 but I left a 25 percent tip, what did I end up paying?

fenix001 [56]

Answer:

Your tip was $7.25 so you payed a total of $36.25 on your $29 bill.

6 0

4 years ago

Read 2 more answers

Twice a number is 16 more then 42.

saw5 [17]

Let the number be x
2x-16=42
2x=42+16
2x= 58
x=29
not sure if it’s right!!

3 0

3 years ago

Alison set aside $55 each month to spend on books and cd .If she spends c dollar on cds given a month she may spend b dollar on

WINSTONCH [101]

For this case we have the following equation:
c + b = 55
Where,
c: number of CDs
b: number of books
For c = 30 we have:
30 + b = 55
From here, we clear the value of b.
We have then:
b = 55-30
b = 25
Note: observe in the graph that when the value of c is 30, the value of b is 25.
Answer:
the amount Alison may spend on books in March if she spends 30 on CDs is:
b = 25
See attached image.

6 0

4 years ago

Joe collects Pokemon cards. He already has 100 and buys a dozen more each week when he goes to the store. Jessica also collects

Tomtit [17]

Answer:

5 weeks

Step-by-step explanation:

To find the answer to this question we have to write an equation for both situation and put them equal to each other.

Let's write an equation for Joe:

12x + 100

Now, for Jessica

6x + 130

Next, put them equal to each other:

12x + 100 = 6x + 130

Solve:

12x + 100 = 6x + 130

6x + 100 = 130

6x = 30

x = 5

Therefore, it will take 5 weeks for Joe and Jessica to have the same amount of cards.

Check:

12(5) + 100 = 6(5) + 130

60 + 100 = 30 + 130

160 = 160

<em>I hope this helps!!</em>

5 0

3 years ago