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satela [25.4K]
3 years ago
13

What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 1?

Mathematics
1 answer:
xenn [34]3 years ago
8 0

Answer:

1.95

Step-by-step explanation:

hello :

ln (x + 6) – ln (2x – 1) = 1  ...(*)

this expression exist : 2x-1 > 0 and x+6 > 0   means : x> 1/2 and x  > -6

hence for : x> 1/2   (*) equivalent to  ln((x+6)/(2x-1))= lne.......(1=lne)

(x+6)/(2x-1) = e

x+6 = e(2x-1)        means : x+6 = 2ex-e

-x+2ex = e+6

x(2e-1) = e+6

x = (e+6)/(2e-1)    =(2.73+6)/(2(2.73)-1) =8.73/4.46 =1.95

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Alla [95]
Combine like terms so combine -2x and x which gives you x=143
3 0
4 years ago
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Thomas needs to buy a bag of rice at the grocery store. Which bag of rice has the smallest unit price?
Scrat [10]

Answer:

<h3>100-once bag that costs $3.00</h3>

Step-by-step explanation:

Ok so the trick here is to divide 300($3.00) by 100 which comes out as 3. If you continue to divide with the others you will see that 3 is the smallest unit price!

8 0
3 years ago
A shoemaker makes three new souls every four minutes another shoemaker made to souls every three minutes what was the difference
yKpoI14uk [10]

Answer:

<h2> 15 souls </h2>

Step-by-step explanation:

If a shoemaker makes three new souls every four minutes, the number of soles he will make in an hour can expressed as shown;

3 souls = 4 minutes

x souls = 1hour (60 minutes)

Cross multiplying to get the number of souls;

4 * x = 3 * 60

4x = 180

x = 180/4

x = 45souls

Hence the number of souls made by this shoemaker in an hour is 45 souls.

Similarly, If another shoemaker makes two new souls every three minutes, the number of soles he will make in an hour can expressed as shown;

2 souls = 3 minutes

y souls = 1hour (60 minutes)

Cross multiplying to get the number of souls;

3 * y = 2 * 60

3y = 120

y = 120/4

y = 30souls

Therefore the number of souls made by this shoemaker in an hour is 30 souls.

The difference in the number souls they made in an hour will be x - y where x = 45 souls and y = 30 souls.

x - y = 45 - 30

The difference is equal to 15 souls

4 0
3 years ago
Match the following items:
Sindrei [870]

Answer:

1.sir de Benville

2. Thomas Dale

3. James Oglethorpe

4. Sir Thomas Hoocker

5. John Rolfe

6. Lord Baltimore

7. Squanto and samosas

8. William Bradford

9. Pilgrims

10.Sir Walter Raleigh

Step-by-step explanation:

1. Founded New Orleans: sir de Benville

2. Governor of Jamestown, gave land to the men: Thomas Dale

3. Began the colony of Georgia: James Oglethorpe

4. led colonists to Connecticut, founded Hartford: Thomas hoocker

5. Successfully planted and cured tobacco: John Rolfe

6. Began the colony of Maryland of the catholics:  Lord Baltimore

7. Native Americans who help the settlers at Plymouth: Squanto and samosas

8. learder of the Plymouth colony: William Bradford

9. Separatist who founded the Plymouth colony: Pilgrims

10. Planned and supported the Roanoke island settlement: Sir Walter Raleigh

So you can just look it up but here it is all together

the only one I had to improves was lord Baltimore I couldn’t find it but he was the only one person who was left so yeah

7 0
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Nat2105 [25]

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Step-by-step explanation:

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