Rewrite the following in the form log(c). log(10) – log(5)

Mathematics

1 answer:

Svet_ta [14]3 years ago

3 0

Answer:

log(2)

Step-by-step explanation:

In order to combine log(10) and log(5), you need to look at the sign that's combining them. In this example, it is a subtraction sign. When two logs are being subtracting from each other, it's the same as dividing the two. You would rewrite it like this:

log(10/5)

You would then solve 10/5, and get 2. You would rewrite the log as:

log(2)

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pochemuha

Answer:

Step-by-step explanation:

I think the easiest way to go about this is to choose on of the answers and fill it in to see if it's correct. Since you only have 4 possible answers, there's no need to actually solve this.

In the question it already tells us that x does not equal 0, so that answer is automatically not correct. Now your down to three possible answers.

Start with -3. First, fill in the x with -3 for what the equation is supposed to equal. That gives you 3/-3. Simplified, that is -1. Now put -3 in for the x in the equation. That gives you 3/2(-3) + 1/2. After running that through your calculator or solving it, you end up with 0. So -3 is not your answer.

Next we'll try the 2. Do as we did last time, and fill in the x on the answer part of the equation. You now have 3/2. That doesn't simplify so it stays as is. Now for the equation. That makes it 3/2(2) +1/2. Put that in your calculator or solve, and you get 5/4. 5/4 does not equal 3/2 so 2 is not your answer.

That leaves 3. You can go ahead and run through the steps above using 3 if you want to double check, but since it's the only answer left, there isn't really a need to.

Hope this helps :)

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3 years ago

Walt grew 10 cm in 1 year. He is now 1.6 m tall. How tall was he 1 year ago?

wlad13 [49]

10cm is the same as point 1 meter so 1.6 minus point 1 is 1.5

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3 years ago

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A plane descends by 4500 ft in 5 minutes. What is the change in the planes elevation each minute

beks73 [17]

The plane will descend 900 ft every minute

This is the case because we divide 4500 by 5

Hope this helps and have a great day!

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3 years ago

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A long paper strip with a width of 5 cm is folded, as shown in the picture. Find the smallest possible area of the gray triangle

Stolb23 [73]

By using some logic and the formula of the triangle's area, we will find that the smallest possible area is 12.5 cm²

How to start thinking about the problem.

First of all, for the configuration of this paper strip, we can see that the base of the triangle will always be equal of the width of the paper. Thus, the smallest area will be only dependent of the height of the triangle.

Now, we need to analyze the picture to figure out how we can get the smallest height possible for that triangle.

What is the smallest height possible.

Doing this, we shall see that the smallest height possible is actually when the height equals the width itself, as it's shown in the attached image.

How to calculate the smallest area possible.

Thus, to calculate the smallest area, we just have to use the formula of the area of the triangle, which is $\frac{b\times h}{2}$ , where b is the base and h is the height.