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mihalych1998 [28]
4 years ago
11

Rewrite the following expression using the properties of logarithms. log2z+2log2x+4log9y+12log9x−2log2y

Mathematics
1 answer:
kramer4 years ago
5 0
Use the rules of logarithm:
1. log(x)+log(y)=log(xy)
    log(x)-log(y)=log(x/y)
2. k*log(x) = log(x^k)
    log(x)/k = log(x^(1/k))

<span>log(2z)+2log(2x)+4log(9y)+12log(9x)−2log(2y)
=</span>log(2z)+log(4x^2)+log(9^4y^4)+log(9^12x^12)−log(4y^2)
=log(2z)+log(4x^2)+log(6561y^4)+log(282429536481x^12)−log(4y^2)
=log(59296646043258912 * x^14 * y^6 * z)
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NNADVOKAT [17]

When you move nine units to the left, you are subtracting 9 from x. When you are moving nine units up, you are adding 10 to y. So, (x, y) -> (x - 9, y + 10).

8 0
4 years ago
9-2*x=35<br> A. -13<br> B. -22<br> C. 48
irina1246 [14]

Answer:

x= -13 (a)

Step-by-step explanation:

-2x=35-9

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3 years ago
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Find the 11th term of the sequence
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-3072

Step-by-step explanation:

6 0
3 years ago
The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 2 and a root of multiplicity 1 at x = − 3 . The y -in
lesya [120]

Answer:

P ( x ) = -0.7 (x - 2)²(x + 3)

Step-by-step explanation:

<u>We are given</u> :

P ( x ) , has a root of multiplicity 2 at x = 2

and a root of multiplicity 1 at x = − 3

Then

P ( x ) = a (x - 2)²(x + 3)  ; where ‘a’ is a real number.

P ( x ) = a (x - 2)²(x + 3)

= a (x² - 4x + 4)(x + 3)

= a [x³ - 4x² + 4x + 3x² - 12x + 12]

P (0) = -8.4

⇔ a [(0)³ - 4(0)² + 4(0) + 3(0)² - 12(0) + 12] = -8.4

⇔ 12 a  = -8.4

⇔  a  = (-8,4) ÷ 12

⇔  a  = -0,7

<u>Conclusion</u> :

P ( x ) = -0.7 (x - 2)²(x + 3)

4 0
2 years ago
Evaluate 13 + 6 y 13+ y 6 ​ 13, plus, start fraction, 6, divided by, y, end fraction when y = 6 y=6y, equals, 6.
Lubov Fominskaja [6]

Answer:

The answer is 14

Step-by-step explanation:

Evaluate 13 + 6/ y when y = 6

We substitute 6 for y in the above expression

= 13 + 6/6

= 13 + 1

= 14

The answer to the the above question is 14

3 0
4 years ago
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