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
s2008m [1.1K]
2 years ago
9

What is the first step in solving ln(x − 1) = ln6 − lnx for x?

Mathematics
2 answers:
Zarrin [17]2 years ago
8 0
The first step to solving this problem is Multiplying In(x-1).
JulsSmile [24]2 years ago
6 0

Answer:

The first step is to apply the laws of logarithms and write (In 6 - In x) as a single logarithms.

Solving he equation, x = 3 or x = -2.

Step-by-step explanation:

In (x - 1) = In 6 - In x

To solve this, we first apply the laws of logarithms and write (In 6 - In x) as a single logarithms.

In 6 - In x = In (6 ÷ x) = In (6/x)

In |(x - 1)| = In |(6/x)|

We can then say that

(x - 1) = (6/x)

x(x - 1) = 6

x² - x - 6 = 0

x² - 3x + 2x - 6 = 0

x(x - 3) + 2(x- 3) = 0

(x - 3)(x + 2) = 0

x = 3 or x = -2

Hope this Helps!!!

You might be interested in
-3(x+0.6)=6(x+2.4)<br> Could you possibly show the work also?
kap26 [50]
Multiple-3(x+0.6) and 6(x+2.4) you will get -3x-1.8=6x+14.4 then you add -3x + 6x you will get -9x=14.4+1.8 you add 14.4+1.8 that will give you 16.2 then divide that by -9

3 0
3 years ago
Children 12 and under eat free at a local restaurant. If x represents age, write an inequality to represent people who do not ge
nadya68 [22]

Answer:

Step-by-step explanation:

3 0
2 years ago
A jet ski depreciates at 11% of its original value each year. If the jet ski was $8,000 at its time of purchase, what is the val
dsp73
Compounded depreciation formula:

A = P(1 - r)ⁿ , where P = original price, r= rate of depreciation, n = number of years and A = actual value (after depreciation):

A= $8000(1 - 11%)⁵ = 8000(0.89)⁵ = 4,467.24 ≈$4,467
4 0
3 years ago
Read 2 more answers
I already know the answer but ima check and see.
maw [93]
I got 2.29 is the difference and debras cows made more obviously

Fraction form is 229/100


MARK ME BRAINLIEST PLEASE
3 0
2 years ago
At a flea market, Ana sold computer games for $9 each and board games for $4 each.
TEA [102]

Answer:

She sold 3 computer games and 4 board games.

Step-by-step explanation:

If I am doing this right you subtract 9 from 43 until you get the lowest number that you can subtract 9 from 43 thats goes into 4. You then subtract 4 until you get 0.

Sorry if this is confusing I didn't know how to explain it well.

4 0
3 years ago
Other questions:
  • Find the midpoint of (4,-1) and (2, -7).
    6·1 answer
  • Which expression is equivalent to16x2+81?
    7·1 answer
  • Find the solutions of the form x=a,y=0and x=0 ,y=b for the following equations: 2x+5y=10 and 2x+3y=6. is there any common soluti
    8·1 answer
  • Sara worked 40 hours per week
    7·1 answer
  • To test the claim that the resistance of electric wire can be reduced by more than 0.050 ohm by alloying, thirty two (32) values
    14·1 answer
  • 30 is what percent of 200?​
    8·1 answer
  • A tornado has been spotted in your area. The tornado warning said that the funnel cloud is traveling east at 40 miles per hour.
    9·1 answer
  • Tyler read 15 pages of a book. Ann read 9 pages of the same book. Did tyler read 4 more pages than Ann?. Explain
    6·2 answers
  • Helpppppppppppppppppppp. Pleaseeee
    15·1 answer
  • Which conversion requires division?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!