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-Dominant- [34]
3 years ago
6

What is the solution to log2(2x^3-8)-2log2(x)=log2(x)

Mathematics
2 answers:
Charra [1.4K]3 years ago
5 0
\bf \textit{Logarithm of rationals}
\\\\
log_a\left(  \frac{x}{y}\right)\implies log_a(x)-log_a(y)
\\\\\\
\textit{Logarithm of exponentials}
\\\\
log_a\left( x^b \right)\implies   b\cdot log_a(x)\\\\
-------------------------------

\bf log_2(2x^3-8)-2log_2(x)=log_2(x)
\\\\\\
log_2(2x^3-8)-log_2(x^2)=log_2(x)\implies log_2\left( \cfrac{2x^3-8}{x^2} \right)=log_2(x)
\\\\\\
\textit{since both sides are getting }log_2\textit{ we can simply undo that}
\\\\\\
\cfrac{2x^3-8}{x^2}=x\implies 2x^3-8=x^3\implies x^3-8=0
\\\\\\
x^3=8\implies x=\sqrt[3]{8}\implies x=2
Ann [662]3 years ago
4 0
X=2  hope this helps!!!! ^_^
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Answer:

a) y= -18x +486

b)

10, y= 306

11, y= 288

12, y= 270

13, y= 252

14, y= 234

15, y= 216

Step-by-step explanation:

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8 0
2 years ago
A student's tuition was $5530. A loan was obtained for 4/7 of the tuition. How much was the loan?
Sophie [7]
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Final answer: $3,160
5 0
3 years ago
Ron finds 9 books at a bookstore that he would like to buy, but he can afford only 5 of them. In how many ways can he make his s
olga55 [171]

Answer:

d. 126; 70

Step-by-step explanation:

given that Ron  finds 9 books at a bookstore that he would like to buy, but he can afford only 5 of them.

Out of 9 books he has to select 5 of them

Here selection of books can be done in any order.  Hence order does not matter

No of ways he selects 5 books out of 9 books = 9C5

= 126

Part II

One book is a must

Hence he has options only 4 books from the remaining 8.

No of ways when one book is compulsory = selecting 3 books from 8 books

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6 0
2 years ago
Is -3.45 closer to -3 or -4 on a number line please i really need help
oksano4ka [1.4K]

Answer:

<u>-3.45</u> is closer to -3

Step-by-step explanation:

because, since it's negative the closer the negative number is closer to 0 its number is lower (-) like -4 is farther away from the 0 than -3.

5 0
2 years ago
Please help! Picture above^
Virty [35]
ANSWER:

24 minutes

40% of 1 hour is equivalent to 24 minutes.

STEP-BY-STEP EXPLANATION:

1 hour = 60 minutes

If:

100% = 60 minutes

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40% = 24 minutes

THEREFORE:

40% of 1 hour is equivalent to 24 minutes.
3 0
3 years ago
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