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deff fn [24]
2 years ago
5

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variab

les represent positive real numbers. (2 points)
2log x + 4log y
Mathematics
1 answer:
Firlakuza [10]2 years ago
3 0

Answer:

log x²y^{4}

Step-by-step explanation:

Using the rules of logarithms

log x + log y ⇔ log xy

logx^{n} ⇔ n log x

Given

2logx + 4logy

= logx² + logy^{4}

= log x²y^{4}

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Gnesinka [82]

Answer:

n=4p

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

5 0
3 years ago
If y varies inversely as x and y = 9 when x = 4, find y when x = 6.
Rudiy27

Answer: x

=

6

Explanation:

the initial statement is

x

∝

1

y

to convert to an equation multiply by k the constant

of variation

⇒

x

=

k

×

1

y

=

k

y

to find k use the given condition

x

=

4

when

y

=

9

x

=

k

y

⇒

k

=

x

y

=

4

×

9

=

36

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

x

=

36

y

2

2

∣

∣

∣

−−−−−−−−−−−−

when

y

=

6

then

x

=

36

6

=

6

Step-by-step explanation:

3 0
3 years ago
Mongoose McHuffy has a bike shop. He only has bicycles and tricycles in stock. In total he has 21 items in stock with a total of
olasank [31]

Answer:

12 bikes

9 tricycles

Step-by-step explanation:

x+y=21

2x+3y=51

x=-y+21

2(-y+21)+3y=51

-2y+42+3y=51

y+42=51

y=9

x=12

5 0
3 years ago
118<br> 154<br> 131<br> 112<br> solve for x
Sophie [7]

9514 1404 393

Answer:

  x = 115

Step-by-step explanation:

The sum of angles in a hexagon is 720°.

  x +118 +90 +112 +131 +154 = 720

  x = 115 . . . . . . . subtract 605

7 0
3 years ago
F(x) x^2-2x+3= -2x+ 28
Aleksandr-060686 [28]

Answer:

x₁ = - 5, x₂ = 5

Step-by-step explanation:

x^2 + 3 = 28

x^2 = 28 - 3

x^2 = 25

x = ± 5

x = - 5

x = 5

6 0
2 years ago
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