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Setler79 [48]
3 years ago
12

Write each equation in exponential form.

Mathematics
1 answer:
vichka [17]3 years ago
7 0

Answer:

The exponential form of equation  log_{6}(216)=3  is (6)³ = 216

Step-by-step explanation:

The exponential equation of  log_{b}(a)=c  is a=b^{c} , where b is the base, c is the exponent of b and a is the value of b^{c}

Ex: log_{2}(8)=3 , its exponential function is 2^{3}=8

Now let us solve the question

∵ log_{6}(216)=3

∴ The base is 6

∴ The exponent is 3

∴ The answer is 216

∴ The exponential equation is (6)³ = 216

The exponential form of equation  log_{6}(216)=3  is (6)³ = 216

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Katie is making lemonade from a powder mix.
beks73 [17]

Answer:

  a) 3 gallons

  b) 20 scoops

Step-by-step explanation:

Ratio values can be multiplied by a suitable constant to obtain an equivalent ratio.

You have ...

  scoops : gallons = 4 : 1 = 12 : 3 = 20 : 5

a) 3 gallons of water should be used with 12 scoops of mix

b) 20 scoops of mix should be used with 5 gallons of water

5 0
2 years ago
A circular region has a population of about 15,500 people and a population density of about 775 people per square kilometer. Fin
Reil [10]

Answer:

2.5 km

Step-by-step explanation:

First, find the area of the region:

  • A circular region has a population of about 15,500 people;
  • A population density of about 775 people per square kilometer.

So, there are 15,500 :775=20 square kilometers.

Now, let x kilometers be the radius of the circular region, then

A_{\text{circilar region}}=\pi r^2\\ \\20=\pi r^2\\ \\r^2=\dfrac{20}{\pi}\approx 6.366198\\ \\r=\sqrt{3.366198}\approx 2.523

To the nearest tenth this is 2.5 km.

6 0
3 years ago
Question 1 of 10<br>Which of the following functions is graphed below?​
Sedaia [141]
Attach picture, where is below
3 0
3 years ago
Given the figure, solve for<br> 13.5<br> +<br> 4
nadezda [96]

Answer:17.5

Step-by-step explanation:

3 0
4 years ago
The slope of a line is 5, and you know it goes through the point (6, 2). Another point on the line goes through the y-coordinate
grigory [225]
Y = mx + b
slope(m) = 5
(6,2)...x = 6 and y = 2
sub and find b, the y int
2 = 5(6) + b
2 = 30 + b
2 - 30 = b
-28 = b
so the equation for this line is : y = 5x - 28

y = 5x - 28.......when y = -3
-3 = 5x - 28
-3 + 28 = 5x
25 = 5x
25/5 = x
5 = x <==== ur x coordinate
7 0
3 years ago
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