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labwork [276]
3 years ago
10

Write the equation in exponential form log4 1/6=-2

Mathematics
1 answer:
AleksAgata [21]3 years ago
8 0
<span><span>Remember: loga</span>x</span>=b⇒<span>ab</span>=<span>x

in which "a" is the base of the log. 

log4 (1/16) = 4^-2 = 1/4^2 = 1/16

4 to the power of -2 is equal to 1/16.

To answer this question, the equation in exponential form of "log4 (1/16) = -2" is " 4^-2 " (4 to the power of -2). :D


</span>
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Check that 2b+b and 3b have the same value when b is 1,2, and 3. Do 2b+b and 3b have the same value for all values of b? Explain
Inessa [10]

Answer:

Expression 2b+b and 3b have same values for all values of b.

Step-by-step explanation:

Given the two expression 2b+b and 3b and values of b as 1, 2 and 3.

Consider first expression that is, 2b+b.

Substituting the value of b=1,

2\left(1\right)+\left(1\right)=2+1=3 ....1

Substituting the value of b=2,

2\left(2\right)+\left(2\right)=4+2=6 ....2

Substituting the value of b=3,

2\left(3\right)+\left(3\right)=6+3=9 ....3

Consider second expression that is, 3b.

Substituting the value of b=1,

3\left(1\right)=3 ....4

Substituting the value of b=2,

3\left(2\right)=6 ....5

Substituting the value of b=3,

3\left(3\right)=9 ....6

For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.

Therefore both expression are same for all values of b.

3 0
3 years ago
Marisol has enough tile to cover a square portion of her patio with an area of 225 ft2. What will be the side lengths of her des
Anit [1.1K]

Answer:

Side lengths = 15 ft²

Step-by-step explanation:

Given:

Area of square = 255 ft²

Find:

Side lengths

Computation:

Area of square = side x side

Area of square = 255 ft²

Side lengths = √Area of square

Side lengths = √255

Side lengths = 15 ft²

4 0
3 years ago
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 3/4of the drink is apple juice a
Vilka [71]
7:1:2 7 is apple juice 1 is orange juice and 2 is cranberry juice
2:7:1 would be the final answer
4 0
3 years ago
A circle is represented by the equation x2+y2=445. a) State the radius. b) Find y if point A(-9,y) is on this circle.
Temka [501]

Answer:

R= sqrt 445

Y = 19

Step-by-step explanation:

Radius is the square root of 445

Find y

So, First step is to substitute what you have

-9^2 + y^2 = 445

 81 + y^2 = 445

-81               -81

y^2 =364

Y is about 19

Let me know if I'm incorrect

Hope this helps :)

4 0
3 years ago
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Answer:

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5 0
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