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
Luden [163]
3 years ago
10

Please helllppp . . . only give answer if you are 100% sure it's correct please!!

Mathematics
1 answer:
SOVA2 [1]3 years ago
4 0

Condene the logarithms on the left side by applying the property, ln(<em>a</em>) - ln(<em>b</em>) = ln(<em>a</em> / <em>b</em>):

ln(<em>x</em> - 2) - ln(<em>x</em> - 3) = 1

→   ln((<em>x</em> - 2) / (<em>x</em> - 3)) = 1

Now take the exponential of both sides:

exp(ln((<em>x</em> - 2) / (<em>x</em> - 3))) = exp(1)

(<em>x</em> - 2) / (<em>x</em> - 3) = <em>e</em>

Solve for <em>x</em> :

<em>x</em> - 2 = <em>e</em> (<em>x</em> - 3)

<em>x</em> - 2 = <em>e x</em> - 3<em>e</em>

<em>x</em> - <em>e x</em> = 2 - 3<em>e</em>

(1 - <em>e</em>) <em>x</em> = 2 - 3<em>e</em>

<em>x</em> = (2 - 3<em>e</em>) / (1 - <em>e</em>) ≈ 3.582

You might be interested in
What is 10* 3.8 exponent of 6 in scientific notation
Tju [1.3M]
3.8 x 3.8 x 3.8 x 3.8 x 3.8 x 3.8 = 3010.9363843010.936384 x 10 = 30109.36384
30109.36384 = 3.01094 × 10^<span>4
</span>

hope this helps

8 0
3 years ago
What is the vertex for<br> f(x)=4(x-2)^2 + 3
Flauer [41]

Answer: (2,3)

Hope this helps! good luck! Have a wonderful day! :)

4 0
3 years ago
Cressida decided to save a part of her income in a savings account that compounds interest every four months. Her account balanc
Bogdan [553]

Answer:

A

Step-by-step explanation:

account balance on compound interest = principal amount (1+rate/100)^time

here there are t years  so toat months are 12t and ad interest is after each 4 months so time is 12t/4 =3t

now total balance = 3545(1.045)^3t

here 3545 is principal amount , rate is( 1.045-1)×100 =4.5% per 4 months and 3t is time so clearly 3t or 3 is a growth factor hence option A

8 0
3 years ago
Read 2 more answers
Math workshops and final exams: The college tutoring center staff are considering whether the center should increase the number
N76 [4]

Answer:

Final Exam score is the response variable.

Step-by-step explanation:

The response variable is the variable of interest. It is what is being tested for given the predictor variables. The response variable is also called the dependent variable and from our question we want to predict final exam scores would improve if attendance is made mandatory or as the question says, required. The number of times attended is the independent variable while final exam score is the response variable.

8 0
3 years ago
Why are numbers with a five in the ones place not prime numbers
Andre45 [30]
Because the number has to have no greater divisors other than one or itself
4 0
3 years ago
Other questions:
  • Complete the square and give a substitution (not necessarily trigonometric) which could be used to compute the integral. ∫1x2+2x
    6·1 answer
  • Terrance Jacobs is looking for a larger home. Jacobs offers $205,000 for a fourbedroom house and the seller accepts. Jacobs wish
    6·1 answer
  • Based on the graph shown to the right, whose phones cost varies directly with the amount of time spent talking?
    15·2 answers
  • Puja had $264 in her savings account. she noticed that if she added 26$ to the original amount and doubled the sum she would get
    14·1 answer
  • Select the equation in which the graph of the line has a positive slope, and the y-intercept equals -8.
    7·1 answer
  • Joanie watched 1 out of three of a movie in the morning
    9·1 answer
  • What is the missing length?
    10·1 answer
  • Fill in the blank with the correct response.<br> What is the scale factor?
    10·2 answers
  • HELP WITH THIS PLEASE
    10·1 answer
  • Find the value of x. X=?<br>Volume = 1500 ​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!