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nadya68 [22]
3 years ago
7

Which of the following is equivalent to log816? a. 2 b. 1.248 c. 4/3 d. 3/4

Mathematics
2 answers:
Anna11 [10]3 years ago
8 0

Answer:  The correct option is (c) \dfrac{4}{3}.

Step-by-step explanation:  We are to select the correct value that is equivalent to the following expression :

E=\log_8{16}.

We will be using the following logarithmic properties :

(i)~\log a^b=b\log a,\\\\(ii)~\log_ab=\dfrac{\log b}{\log a}.

So, the given expression becomes

E\\\\=\log_8{16}\\\\\\=\dfrac{\log16}{\log8}\\\\\\=\dfrac{\log2^4}{\log2^3}\\\\\\=\dfrac{4\log2}{3\log2}\\\\\\=\dfrac{4}{3}.

Thus, the required value is \dfrac{4}{3}.

Option (c) is CORRECT.

ElenaW [278]3 years ago
5 0
X=4/3
C 4/3 hope this helped
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Mike thought of a number. He added to it to two other numbers. One of these numbers was 12 less than his number, the other was 1
Inessa [10]

Answer:

number 1  + number 2 + number 3 = 15

Number 1 = x + 12

Number 2 = x - 12

Number 3 = x

(x + 12) + (x - 12) + x = 15

x + 12 + x - 12 + x = 15

x + x + x +12 -12 = 15

3x = 15

x = 15/3 = 5

Check:

Number 1 = 17

Number 2 = 5 -12 = -7

Number = 5

number 1  + number 2 + number 3 = 15

17 + (-7) + 5 = 15

10 + 5 = 15

15 = 15

Answer is 5

Step-by-step explanation:

5 0
3 years ago
Which equation is a line that is parallel to the x-<br> axis and passes through the point (5,2)?
Natali [406]

Answer:

y = 2

Step-by-step explanation:

Since the line is parallel to the x-axis,

the gradient, m = 0

From the point, we know that

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So y = 2 is the line that parallel to x-axis

4 0
3 years ago
Alex purchased 3 packs of baseball cards that cost $2.50 each. He also purchased 2 packs of card protectors that cost $3.00 each
vampirchik [111]

Answer:

6.50

Step-by-step explanation:

You have to add/multiply 2.50 by 3 to get the total cost of the cards. 2.50*3=7.5. then, you need to add/multiply 3.00 by 2 to get 6. 7.5+6= 13.5. 20-13.5=6.50.

the change was $6.50

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3 years ago
Find the gradient of the line 2x+7y=14
Alex777 [14]

Answer:

-2/7

Step-by-step explanation:

2x+7y=14

7y=-2x+14

divide by 7

y=-2/7 x+2

4 0
3 years ago
Can someone help please Stickers are sold in packages of 15 sheets. If there are 20 students in the class, how many packages of
MrRa [10]

Answer:

4 packages

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
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