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]
3 years ago
9

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

Mathematics
2 answers:
Zarrin [17]3 years ago
8 0
The first step to solving this problem is Multiplying In(x-1).
JulsSmile [24]3 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
anne marie saved 9 dollars for a coat..That is 1/6 as much money she needs. How much does the coat cost.??
dybincka [34]
1/6 times 6 equals 1, the total value of the coat. Multiply 9 by 6 to get the total value: $54
6 0
3 years ago
Read 2 more answers
Y=-2x+5 was shifted down 7 units what equation is it now
baherus [9]

Answer:

y=-2x-2

Step-by-step explanation:

we have

y=-2x+5

This is the equation of a line in slope intercept form

where

m=-2 ---> the slope

b=5 ----> the y-intercept

we know that

If the given line was shifted down 7 units, then the new y-intercept is equal to

b=5-7=-2

The slope of the new line will be the same that the original line, because are parallel lines

so

The new equation is

y=-2x-2

3 0
4 years ago
With process please
ludmilkaskok [199]

Answer:

Im pretty sure its c cause shop a has cheaper prices

Step-by-step explanation:

5 0
3 years ago
Help meeeeeeeeeeeeeeeeeeeeeeeeeeeeee
ivanzaharov [21]

14. 32 out of the 125 people surveyed preferred Company B. If the same proportion holds for the larger sample, we expect

... (32/125)×750 = 192 . . . . people would prefer Company B

15. There are a total of 45 marbles in the bag, of which 28 are NOT blue. The probability of drawing a NOT blue marble is 28/45.

16. We can desginate the point where the lines meet as O. Angles NOK and MOL are vertical angles, so are equal. The diagram tells you the measure of NOK is 90° + 15° = 105°, so that is the measure of (5x)°. The value of x is

... 105/5 = x = 21

17. Division by a fraction is the same as multiplication by its inverse.

-\dfrac{10}{19}\times -\dfrac{7}{5}=\dfrac{10}{5}\cdot\dfrac{7}{19}=2\cdot\dfrac{7}{19}\\\\=\dfrac{14}{19}

7 0
4 years ago
Tiffany quiz grades on 1st 4 quizzes are 72,87,83,90
Ulleksa [173]
Correct answer is 92
8 0
3 years ago
Other questions:
  • Seorang pedagang mengeluarkan rp 1.500.000.00 untuk menjalankan usahanya.jika pada hari itu dia mendapatkan keuntungan sebesar 1
    7·1 answer
  • Type the correct answer in the box. Round your answer to two decimal places.
    10·2 answers
  • ???????????????????????
    12·2 answers
  • How many square inches greater is the area of a 30-inch circular mirror than an 18-inch circular mirror?
    10·1 answer
  • -7 + 3 (-4c -3) equivalent expressions
    12·1 answer
  • X2+2x-35<br> How can you simplify 2+48-21
    14·1 answer
  • PLS HELP ME ASAP I DONT HAVE TIME IT ALSO DETECTS IF ITS RIGHT OR WRONG
    9·1 answer
  • An equivalent ratio for 7/14
    8·2 answers
  • NEED HELP ASAP
    15·1 answer
  • A researcher estimates that a fossil is 3200 years old. Using carbon-14 dating, a procedure used to determine the age of an obje
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!