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Basile [38]
4 years ago
9

How would you solve this logarithm problem?

Mathematics
1 answer:
Tatiana [17]4 years ago
6 0

log_{2}(2x + 6)  -   log_{2}(x)  = 3 \\ \Leftrightarrow log_{2}(2x + 6) = log_{2}(x) + 3 \times 1 \\ \Leftrightarrow log_{2}(2x + 6) = log_{2}(x) + 3 log_{2}(2)  \\ \Leftrightarrow log_{2}(2x + 6)  = log_{2}(x) +  log_{2}(8)  \\ \Leftrightarrow log_{2}(2x + 6)  = log_{2}(8x)  \\ \Leftrightarrow 2x + 6 = 8x\Leftrightarrow 6x = 6\Leftrightarrow x = 1

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The heights of two similar cylinders are 3cm and 4cm respectively. The total area of the bigger cylinder is 400cm².Calculate the
shusha [124]

Answer:

Step-by-step explanation:

Total surface area = 2πr(r+h)

If the total area of the bigger cylinder is 400cm² and radius is 4cm, then;

400=2(3.14)(r)(r+4)

400= 6.26r(r+4)

400=100.48 + 25.12h

299.52 = 25.12h

H = 299.52/25.12

H = 11.92cm

For the smaller cylinder

The height is calculated as;

H/h = R/r

11/92/

8 0
3 years ago
A box is filled with 5 brown cards, 4 red cards, and 5 green cards. A card is chosen at random from the box. What is the probabi
DENIUS [597]

Answer:

10 out of 14

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5/7

Step-by-step explanation:

3 0
3 years ago
Help please Order the numbers from smallest to largest: 10 , 23 , |-9|, and 1.2 × 101
Ivenika [448]

Answer: 3.16, 8, 9, 12

Step-by-step explanation:

\sqrt{10} = 3.16

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|-9| = 9

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3.16, 8, 9, 12

7 0
4 years ago
Read 2 more answers
The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if paral
skad [1K]
You are asking for the condition needed for the 
<span>two segments to be perpendicular to each other. </span>

<span>If the slope of one segment is m, then the slope of a perpendicular segment would be -1/m </span>

<span>this means that m2 = -1/m and so m2 x m = -1 </span>

<span>If you look carefully at your choices, the 3rd answer involves the two slope and has the -1. It's </span>
<span>the correct answer.</span>
5 0
3 years ago
Read 2 more answers
Please help thank you.
nikklg [1K]
I believe that through deductive reasoning angle O is 64 degrees. The reason is it's bigger than angle R so that rules out 32 and 16 degrees, but it's not obtuse, so that rules out 128 degrees, thereby leaving you with 64. Hope this helps :)
3 0
3 years ago
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