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
Simple approved by trying title to the statements and reasons columns
just olya [345]

Answer:

90 and 80 degrees

Step-by-step explanation:

5 0
3 years ago
Write the equation of a line with slope m = 6 and including point (0, 1).
dezoksy [38]

Answer:

y = 6x + 1

Step-by-step explanation:

linear equations (straight line) are expressed in the following general form:

y = mx + b, where m is the gradient and b is the y-ordinate of the point where the line crosses the y-axis (called the y-intercept)

Given : m = 6

we realize that point (0,1) is actually on the y-axis (i.e x=0), therefore this is coincidentally the y-intercept. Hence b = 1

Therefore the whole equation is

y = 6x + 1

4 0
3 years ago
Read 2 more answers
- У
Sedaia [141]
I think it’s probably c d=2 -10
4 0
3 years ago
Solve the equation<br> -6.8w = 3.4
Westkost [7]

Answer:

-6.8w = 3.4

divide both side by -6.8

the left side become w

and the right side become - 0.5

so

w = -0.5

3 0
3 years ago
After a 40% discount my new dishwasher cost $960. What was the original price
Ahat [919]

Answer:

$1600

Step-by-step explanation:

960/0.6=1600

7 0
3 years ago
Read 2 more answers
Other questions:
  • You buy a watch for $60. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sal
    15·2 answers
  • Xxxtentacion what was his most listened to song
    15·2 answers
  • Adam and 3 riends go on holiday together for a week .The costs of the holiday will be shared equally between 4 friends .These ar
    10·1 answer
  • When you reject the null hypothesis, you are stating that what you did in your study significantly changed your sample.
    7·1 answer
  • If Julius wants to have $1,500,000 when he retires in 20 years. How much money would
    13·1 answer
  • Suppose y varies directly as x, and y=26 when x=8. Find x when y=65.
    15·1 answer
  • Durant and Westbrook are playing a three-point challenge game to improve long distance shooting. Each time each of them makes a
    6·1 answer
  • Kobe, Amari, and DJ raised $125.45 for their football team. Kobe collected $24.55 more
    5·1 answer
  • What's the perimeter of a parallelogram with sides of 10 inches and 5 inches
    5·1 answer
  • Help me solve this please
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!