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Inga [223]
3 years ago
12

3ln3-ln9 in single logarithmic form

Mathematics
1 answer:
zalisa [80]3 years ago
6 0
Remember
aln(c)=ln(c^a)
and
ln(a)-ln(b)=ln(a/b)

so

3ln3-ln9=
ln(3^3)-ln9=
ln27-ln9=
ln(27/9)=
ln3
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What value of n makes the equation true? (2x^9y^n)(4x^2y^10)=8x^11y^20
Komok [63]
Hi there! The answer is n = 10.

(2 {x}^{9}  {y}^{n} )(4 {x}^{2}  {y}^{10} ) = 8 {x}^{11}  {y}^{20}

As you see at the powers of x, we need to add the exponents of the power we when multiply them.
{x}^{9}  \times  {x}^{2}  =  {x}^{9 + 2}  = x {}^{11}

The powers of y work the same way.
{y}^{n}  \times  {y}^{10}  =  {y}^{n + 10}  =  {y}^{20}

Hence, n = 10, since
{y}^{10 + 10}  =  {y}^{20}
8 0
3 years ago
7,24,25. 7 , 23,24 7, 25,26 <br> Which of the following will form a right triangle
Andru [333]
We know that
In <span>a right triangle
c</span>²=a²+b²
where
a and b are the legs of triangle 
c is the hypotenuse of the triangle
so

case 1)7,24,25
25²=7²+24²
25²-----> 625
7²+24²----> 625
625 is equal to 625----------> <span>form a right triangle
</span>
case 2) 7,23,24
24²=7²+23²
24²------> 576
7²+23²-----> 578
576 is not 578-------------> not form a right triangle

case 3) 7,25,26
26²=7²+25²
26²-----> 676
7²+25²-----> 674
676 is not 674----->  not form a right triangle

the answer is
7,24,25 form a right triangle



8 0
3 years ago
Mrs. Browning bought ice cream treats for 6 children. Each child picked either a sundae or a milkshake. The sundaes cost $2 each
Anna35 [415]

Answer:

3 milkshakes and 3 sundaes

Step-by-step explanation:

3 * 5 = $15 + 3 * 2 = $21

6 0
3 years ago
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There are 2 blue, 3 green and 10 red marbles in a bag. What is the Probability of pulling a red marble, replacing it, then pulli
Kamila [148]

Answer:

i think its this..   ._.

Step-by-step explanation:

if red is 10, and pulling a blue is 2, there is a 10/15 chace you will get a red, but a 2 out of 15 chance you will get a blue

3 0
3 years ago
Three friends each have some ribbon. Carol has 54 inches of ribbon, Tino has 10.5 feet of ribbon, and
zzz [600]

Answer:

1800 inches, 150 feet, and 50 yards

Step-by-step explanation:

First, lets start in inches. multiply 45 by 3, to get 135 feet, and add that with 10.5 to get 145.5 feet. multiply that by 12 to get 1746 inches, and add 54 to that to get 1800 inches. divided that by 12 to get 150, and divided 150 by 3 to get 50.

4 0
3 years ago
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