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4 years ago

I need help with 1,2,3,6

Mathematics

1 answer:

laila [671]4 years ago

3 0

1. 84
2. 3.36
3. 7
6. 279

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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

SOMEONE PLEASE HELP ME FOR BRAINLY IF CORRECT

kifflom [539]

Answer:

Step-by-step explanation:

Its A which ever is the one that is full

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3 years ago

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Which function below is the inverse of f(x) = x2 − 25?

balu736 [363]

Hello,

y=x²-25
==>x=y²-25 ==>y=±√(x+25)

Answer B: ±square root of the quantity x plus 25

7 0

3 years ago

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natita [175]

I hope that this helps! Each dash represents a dot or whatever you have to put on there

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4 years ago

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Alik [6]

Answer:

Step-by-step explanation:

You find the area of each triangle and that is (4*3)/2 which is equal to 6 but because all four sides are the same size you would multiply 6 by 4 so 6*4=24 you must also find the area of the bottom and that would be 3*3= 9 then you'd add them together 24+9=33 i hope that this helps!

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3 years ago