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4 years ago

How to expand this logarithm?

1 answer:

5 0

There is a division symbol, division is subtracted. Are you sure you have the problem stated clearly?
 $ln( \frac{-5m-3}{ \sqrt{-4m-7} } )\\ \\ ln(-5m-3) - ln( (-4m-7)^{1/2} ) \\ \\ Power Rule \\ \\ ln(-5m-3) - \frac{1}{2} ln(-4m-7)$

You might be interested in

I need a step by step I got lost in learning

alexandr402 [8]

Answer:

6 to the power of 2.

Step-by-step explanation:

Recall that whenever you divide exponents with the same base, you subtract the powers, but the base will still be the same. Therefore, 6 to the power of 12 divided by 6 to the power of 10 is 6 to the power of 2. Subtract the powers (exponents) or 12 minus 10, and you get 2. Since the base doesn't change, it is still 6. The solution to this expression is 6 to the power of 2. Hope this helps!

8 0

3 years ago

Write down two prime numbers that have a sum of 32

maksim [4K]

Answer:

3 and 29

13 and 19

Step-by-step explanation:

3+29=32

13+19=32

Note: Prime numbers are those that can only be divided by one or itself!

8 0

3 years ago

Zachary found a string of pearls

svetlana [45]

Answer:

He has 8 1/4 or 8.25 pounds of pearls

Step-by-step explanation:

4 3/4 + 3 1/2

You change 3 1/2 to 3 2/4 and then add them normal and change the improper fraction to a mixed number.

7 0

3 years ago

The ubiquitous 12oz aluminum cans used to distribute drinks in this country have a diameter of approximately 2.75 inches and a h

gayaneshka [121]

Answer:

3.5%

Step-by-step explanation:

The volume of a cylinder = $\pi r^2h$

r = radius of cylinder,

h = height of cylinder

For the non-optimal can,

r = 2.75/2 = 1.375

h = 5.0

$V = \pi(1.375^2)\times 5.0 = 9.453125\pi$

For the optimal can,

d/h = 1,

d = h

2r = h

r = h/2

$V = \pi\left(\dfrac{h}{2}\right)^2\times h = \pi\left(\dfrac{h^3}{4}\right)$

They have the same volume.

$\pi\dfrac{h^3}{4} = 9.453125\pi$

$h^3 = 37.8125$

$h=3.36$ (This is the height of the optimal can)

$r = \dfrac{3.36}{2} = 1.68$ (This is the radius of the optimal can)

The area of a cylinder is

$A = 2\pi r(r+h)$

For the non-optimal can,

$A = 2\pi\times\dfrac{2.75}{2}\left(\dfrac{2.75}{2}+5.0\right) = 17.53125\pi$

For the optimal can,

$A = 2\pi\times1.68\left(1.68+3.36\right) = 16.9344\pi$

Amount of aluminum saved, as a percentage of the amount used to make the optimal cans = $\dfrac{17.53125\pi - 16.9344\pi}{16.9344\pi}\times 100\% = 3.5\%$

5 0

4 years ago

SOMEONE PLEASE HELP ME ASAP PLEASE!!!

Strike441 [17]

Answer:

105.12 ft^2

Step-by-step explanation:

Area of a rectangle: bh

In this case 8*10.... so area of the rectangle is 80

Area of a circle: pir^2

Half it for a semicircle.

so 1/2 pi r^2

radius is 4 cuz its half of 8.

so 1/2(3.14)(4^2)=(0.5)(3.14)(16)=25.12

Now add up 80+25.12

Total is 105.12

Hope I helped :)

5 0

3 years ago