1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ss7ja [257]
3 years ago
10

How do you solve this multi-step equation involving natural logarithms? ln(x-3)-ln5=1

Mathematics
1 answer:
sasho [114]3 years ago
5 0

Answer:

Step-by-step explanation:

Step 1, when  subtracting logs with the same base you can rewrite it with one log and the argument becomes division...

ln(x - 3) - ln 5 = 1 becomes...

            ln [ (x - 3)/5 ]  = 1

Step 2, rewrite the by putting into exponential form...ln has a base of e, so we get..

    e^1 = (x -3)/5

Now solve...

  e = (x - 3)/5

       5e = x - 3

             5e + 3 = x

You might be interested in
Please help please and thanks
Bingel [31]
This will help a lot if you go to desmos! Just graph the equation on there! It’s much easier to see on computer

7 0
3 years ago
A graph has a constant of proportionality of 35. Let y represent miles and x represent gallons.
Harman [31]

Answer:

Step-by-step explanation:35x

6 0
3 years ago
Hi! Please help me find the slope of the line.
lana66690 [7]

Answer:

3/2

Step-by-step explanation:

We can use the slope formula to find the slope of the line

m = ( y2-y1)/(x2-x1)

Using the points (0,-4) and (2,-1)

m = ( -1 - -4)/( 2 - 0)

   = (-1+4)/ (2 -0)

   = 3/2

7 0
2 years ago
Read 2 more answers
Help pls i don’t know how to do this
Vlada [557]

Answer:

m∠1= 79

Step-by-step explanation:

What we have here is two vertical lines and one intersecting point.

The m∠1 and m∠6 are vertical angles, which means that they equal to each other. So, the equation would be: 6x+25= 10x-11.

Step 1- Subtract 6x to both sides.

6x+25= 10x-11

-6x        -6x

25= 4x-11

Step 2- Add 11 to both sides.

25= 4x-11

+11       +11

36= 4x

Step 3- Divide both sides by 4.

<u>36</u>= <u>4x</u>

4     4

x= 9

Now that we know the value of the variable x, substitute it into the equation for m∠1.

m∠1= 10(9)-11

m∠1= 90-11

m∠= 79

<u>Check            </u>

m∠6= 6(9)+25

m∠6= 54+25

m∠6= 79

Since m∠1 and m∠6 are vertical angles, they should equal each other.

4 0
3 years ago
Calculate the amount and the compound interest on Rs 12.000 in 2 years at 10%
mel-nik [20]

Answer:

Amount = p( 1+r/100) ^n

= 12000 ( 1+10/100) ²

= 12000( 10/10+1/10) ²

= 12000( 11/10) ²

= 12000 x 11/10 x 11/10

= 14520 rs.

Compund interest = amount - principal

= 14520 - 12000

= 2520rs.

Next question :- no of men can complete a piece of work in 7 days = 36

No of men can complete a piece of work in 42 day = ( 36 x 7 ) ÷ 42

= 252 ÷ 42

= 6 men

5 0
3 years ago
Other questions:
  • Change 37/7 to mixed fraction​
    10·1 answer
  • If 2x+13=17, then find the value of 3x+1
    8·1 answer
  • Evaluate - cd/e when c = -9, d = -20, and e = -12.<br><br> P.S. it’s not multiple choice.
    9·2 answers
  • Help please with all of them
    10·1 answer
  • A rope is cut into equal pieces, and 8 of the pieces are used to tie up
    6·2 answers
  • Solve -3/5+1/5&gt;7/20 Drag and drop a number or symbol into each box to show the solution.
    10·1 answer
  • Write the number 4302000000000 in scientific notation.
    9·1 answer
  • Write your answer in simplest form.<br> -2/3+7/9
    15·1 answer
  • This is geometry. Please help explain this.
    10·1 answer
  • In ∆XYZ, m∠X = 152, y = 15, and z = 19. Find side x and the measure of angle Y to the nearest tenth
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!