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BlackZzzverrR [31]
3 years ago
8

Simplify: log81/8 + 2log2/3 - 3log 3/2 +log 3/4​

Mathematics
1 answer:
MissTica3 years ago
5 0

Answer:

0.

Step-by-step explanation:

Using the laws of logarithms:

log81/8 + 2log2/3 - 3log 3/2 + log 3/4​

= log 81/8 + log (2/3)^2 - log (3/2)^3 + log 3/4

= log 81/8 + log 4/9 - log 27/8 + log 3/4

= log 81/8 + log 4/9 - (log 27/8 - log 3/4)

= log (81/8 *  4/9) - log (27/8 * 4/3)

= log 9/2 - log 9/2

= 0.

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8 x - 4 (5 - x) = -44
Sphinxa [80]

8 x - 4 (5 - x) = -44

mutiply the bracket by -4

(-4)(5) = -20

(-4)(-x)= 4x

8x-20+4x= -44

8x+4x-20= -44 ( combine like terms )

12x-20= -44

move -20 to the other side

sign changes from -20 to +20

12x-20+20= -44+20

12x= -44+20

12x= -24

divide both sides by 12

12x/12= -24/12

Answer: x= -2

3 0
4 years ago
Help pleasee<br> Qn is attached belowww <br> PLEASE HELPP
Simora [160]

Answer:

QR = 65.4 m

Step-by-step explanation:

a. Apply Law of Cosines to find QR:

p² = q² + r² - 2qr × Cos P

p = QR = ?

q = PR = 150 m

r = PQ = 120 m

P = 25°

Plug in the values

p² = 150² + 120² - (2)(150)(120) × Cos(25°)

p² = 22,500 + 14,400 - 36,000 × 0.9063

p² = 36,900 - 32,626.8

p² = 4,273.2

p = √4,273.2

p ≈ 65.4 m (nearest tenth)

QR = 65.4 m

7 0
3 years ago
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Stolb23 [73]

Answer:  8

The radical sign applied to a real number gives the principal square root, which is the positive square root in the case of a positive number.

4 0
3 years ago
Read 2 more answers
EASYY TO ANSWER I WILL MARK YOU AS BRILIANT HELP PLEASE
BARSIC [14]

Question 1: (0,2) because b value in mx+b is y-intercept


Question 2: plug in 4 for x you will get 1 so max is (4, 1)


Question 3: plug in -4 for x you will get -5 so min is (-4, -5)


Hope it helps :D

7 0
3 years ago
Compute the probability of tossing a six-sided die (with sides numbered 1 through 6) and
goblinko [34]

Answer:

the answer is 1 in 6 odds.

4 0
3 years ago
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