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3 years ago

Rewrite the equation in logarithmic form: 2³= 8

Mathematics

2 answers:

elena55 [62]3 years ago

7 0

Answer:

3 log 2 = log 8

Step-by-step explanation:

Take the log of both sides of the given equation 2^3 = 8:

log 2^3 = log 8, which simplifies to 3 log 2 = log 8.

This is equivalent to the given 2^3 = 8.

Instead of the common log, you could also use the natural log, "ln."

Alternatively, use the base-2 log:

2^3 = 8

Taking the base-2 log of both sides, we get 3 = log-2 of 8 = 3

GrogVix [38]3 years ago

6 0

Explanation: The base of the power in the original equation becomes the base of the log. So we have $^{log}2$ . Next, the exponent in the original equation goes on the other side of the equation and finally, the result in the original equation goes inside the log.

So we have $^{log} 2$ $8$ = $3$ which is 2³ = 8 written in logarithmic form.

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The angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees. How much higher will the to

Sav [38]

Answer:

44.73 m

Step-by-step explanation:

Given that the angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees.

Using trigonometry ratio, the height of the tower can be calculated by

Tan Ø = height / base

Tan 25 = height / 120

Make height the subject of formula

Height = 120 × tan 25

Height = 55.96 m

How much higher will the tower need to be raised so that its angle of elevation from the same point will be 40 degrees?

Using the same formula to calculate the new height.

Tan 40 = new height / base

Tan 40 = new height / 120

Make the new height the subject of the formula.

New height = 120 × tan 40

New height = 100.69 m

Increase in height = new height - height

Increase in height = 100.69 - 55.96

Increase in height = 44.73m

Therefore, the tower will need 44.73m to be raised so that its angle of elevation from the same point will be 40 degrees.

4 0

3 years ago

Which expression can be used to find the volume of the sphere?

Kryger [21]

Answer:

They used 3.14 for pi:

$V=\frac{4}{3} \pi r^3$

$V=\frac{4}{3} (3.14)(5)^3$

Step-by-step explanation:

$V=\frac{4}{3}\pi r^3$ is the volume of a sphere with radius r.

I think that is the diameter given in the picture.

The radius is half the diameter.

So the radius is 5 since the diameter is 10.

Plug in this gives you:

$V=\frac{4}{3} \pi (5)^3$

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3 years ago

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lesya [120]

The answer to convert 76.8 fahrenheit to Celsius is D

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3 years ago

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The sum of two numbers is 8, and their product is 15. What is the largest number?

AfilCa [17]

Hello there!

The sum of two numbers (x + y) is 8 (=8).
Their product (x * y) is 15 (=15).
x + y = 8
x * y = 15

First, we know that the two number must be positive and under 8, as the product is positive.

Let's list out some numbers that are from 1 to 8 that sum up to 8;
1 + 7
2 + 6
3 + 5
4 + 4

Now, we need to multiply the two numbers that add up to 8, and see which makes a product of 15.
1 * 7 = 7, this does not work.
2 * 6 = 12, this does not work.
3 * 5 = 15, this works!
4 * 4 = 16, this does not work.

Since we are looking for the larger number in our pairs, let's pick the largest one out of the correct pair, which is 5.

The largest number is 5.

I hope this helps!

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3 years ago

Using the triangle below, find the value of x.

xenn [34]

Answer:

Step-by-step explanation:

it looks like the right anwser

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3 years ago