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3 years ago

Is a-b parallel to c-d? Explain

Mathematics

1 answer:

Roman55 [17]3 years ago

5 0

Yes both have a line of 3/4

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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

4x5+4x1= blank x6 (distributive property)

Pie

Multiply all the numbers by what you see on the screen and the six the side and then divide it into a equal amount.

5 0

3 years ago

What is the approximate area of the circle shown?

Svetradugi [14.3K]

Your answer is 153.86

8 0

4 years ago

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Plz plz help is for my brother his in first grade

Mkey [24]

4+2 = 6 a a a a + a a = a a a a a a

2+4 = 6 a a + a a a a= a a a a a a

Tommy is correct They are both equal to 6

7 0

4 years ago

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Factor the expression completely.<br> 9 - 36x

Nadya [2.5K]

Answer:

9(1-4x)

Step-by-step explanation:

7 0

3 years ago