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Xelga [282]
3 years ago
8

Please help me on this one

Mathematics
1 answer:
Aliun [14]3 years ago
6 0

Answer:

The single logarithm is ㏒2[x³/(3/x+4)] ⇒ 1st answer

Step-by-step explanation:

* Lets revise some rules of the logarithmic functions

- log(a^n) = n log(a)

- log(a) + log(b) = log(ab)

- log(a) - log(b) = log(a/b)

* Lets solve the problem

∵ 3㏒2(x) - {㏒2(3) - ㏒2(x + 4)} ⇒ we want to make it single logarithm

# 3㏒2(x) = ㏒2(x³)

# ㏒2(3) - ㏒2(x + 4) = ㏒2[3/(x + 4)]

∴ 3㏒2(x) - {㏒2(3) - ㏒2(x + 4)} = ㏒2(x³) - ㏒2[3/(x + 4)]

∵ ㏒2(x³) - ㏒2[3/(x + 4)] = ㏒2[x³ ÷ 3/(x + 4)]

∴ 3㏒2(x) - {㏒2(3) - ㏒2(x + 4)} = ㏒2[x³/(3/x+4)]

* The single logarithm is ㏒2[x³/(3/x+4)]

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⚠️⚠️ help would be appreciated ⚠️⚠️
Pachacha [2.7K]

Answer:

(I rotated the trapezoid on the origin)

T' (-2, 2)

R' (-2, 5)

A' (-6, 2)

P' (-7, 5)

Step-by-step explanation:

The original points of the trapezoid were (2, -2), (2, -5), (6, -2) and (7, -5). Flipping trapezoid TRAP on the origin has the x and y coordinates showing their opposites from the original. So, find the opposite of each x and y coordinate to get the coordinates of the rotated trapezoid T'R'A'P'.

5 0
2 years ago
During the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours.The second one was
butalik [34]

Answer:

2nd debate was 3 hours long.

Step-by-step explanation:

We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.

Let us find the estimate of time spent on 2nd debate.

1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.

2*2=4

Therefore, the estimated time is less 4 hours.

To find the time spent on 2nd debate, we will multiply 1 2/3 by 1 4/5.

First of all, we will convert mixed fractions into improper fractions as:

1\frac{2}{3}=\frac{5}{3}

1\frac{4}{5}=\frac{9}{5}

Now, we will multiply both fractions as:

\frac{5}{3}\times \frac{9}{5}

\frac{1}{3}\times \frac{9}{1}

\frac{9}{3}\Rightarrow 3

Therefore, the 2nd debate was 3 hours long.

5 0
3 years ago
It'll tell me if the answer is wrong so ill mark Brainliest to whoever is right
Vinvika [58]
The answer is C

Hope this helped!!
8 0
2 years ago
Expand:<br> 4(5x+5) - 3(2x + 4)
aliina [53]

Answer:

14x + 8

Explanation:

⇒ 4(5x+5) - 3(2x + 4)

distribute inside parenthesis

⇒ 4(5x) + 4(5) - 3(2x) - 3(4)

multiply the variables

⇒ 20x + 20 - 6x - 12

collect like terms

⇒ 20x - 6x + 20 - 12

subtract like term

⇒ 14x + 8

3 0
2 years ago
Read 2 more answers
Which graph shows a function where f(2)= 4?
Leni [432]

Answer:

Mickey Mouse was inspired by the pet mouse Disney had as a child.

Mickey was originally going to be named Mortimer! ...

Every U.S. president has posed with Mickey Mouse, save Lyndon Johnson.

Speaking of presidents, Mickey Mouse is the most popular write-in candidate at the voting booth.

Step-by-step explanation:

8 1
3 years ago
Read 2 more answers
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