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Kamila [148]
2 years ago
15

Number 2 says Write the given equation in exponential form. Log8 1/512=-3

Mathematics
1 answer:
MA_775_DIABLO [31]2 years ago
7 0

In exponential form it is given as, 8⁻³ = $\frac{1}{512}

<u>Step-by-step explanation:</u>

We have to write the given equation in the exponential form, that is in the form of base to the power value.

Given:

log₈ ($\frac{1}{512} ) = -3

Here the base is 8.

In the exponential form, it is written as,

base to the power 3 = 512

Here the reciprocal of 512 is given, so,

base to the power -3 =   $\frac{1}{512}

So the exponential form is given as, 8⁻³ = $\frac{1}{512}

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3 years ago
Point D is located on MN at (2,43). What ratio relates MD to DN?
Eva8 [605]

The ratio of MD to DN is equal to 2.

<h3>How to find the partition ratio for a line segment</h3>

In accordance with the image set aside, the locations of the points M and N are M(x, y) = (- 6, - 4) and N(x, y) = (6, 4), respectively. Now we determine the vectors associated to line segments MD and DN by vector sum:

<u>MD</u> = D(x, y) - M(x, y)

<u>MD</u> = (2, 4 / 3) - (- 6, - 4)

<u>MD</u> = (8, 16 / 3)

<u>DN</u> = N(x, y) - D(x, y)

<u>DN</u> = (6, 4) - (2, 4 / 3)

<u>DN</u> = (4, 8 / 3)

Lastly, we find the length of each line segment by Pythagorean theorem:

MD = √[8² + (16 / 3)²]

MD = (8 / 3)√13

DN = √[4² + (8 / 3)²]

DN = (4 / 3)√13

And the ratio of MD to DN is:

MD / DN = [(8 / 3)√13] / [(4 / 3)√13]

MD / DN = 2

The ratio of MD to DN is equal to 2.

<h3>Remark</h3>

The statement presents typing mistakes, we kindly present the correct form below:

<em>Point D is located on line segment MN at (2, 4 / 3). What ratio relates MD to DN?</em>

To learn more on line ratios: brainly.com/question/3148758

#SPJ1

4 0
1 year ago
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