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
Solve<br><br> f(x) =7 /3х – 1 - 3 / x = 7
olga2289 [7]

Answer:

Step-by-step explanation:

7*3x= 7- 3x - 9

21x = -2-3x

24x =-2

x=-1/12

5 0
3 years ago
Spiral Review At a restaurant, Brianna and Naomi each order an appetizer for $6.50 and an entree for $9.75. They decide to leave
Licemer1 [7]

Answer: 4.55

Step-by-step explanation:

6.50x2 = 13 + 9.75 = 20% = 4.55

hoped this helped lol

4 0
3 years ago
The bottom of Ignacio's desktop is 74.5cm from the floor. Ignacio's sits in his adjustable chair, and the tops of his legs are 4
dsp73

Answer:

Ignacio can make 5 clockwise rotations.

Step-by-step explanation:

Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:

4.8r + 49.3 < 74.5  where 'r' is equal to the number of rotations

The sum of the Ignacio's original leg height plus the amount of height increased from the rotations of the know must be less than 74.5 in order for his legs not to touch.  Now, solve for 'r':

Subtract 49.3 from both sides:  4.8r + 49.3 - 49.3 < 74.5 - 49.3 or 4.8r < 25.2

Divide 4.8 from both sides:  4.8r/4.8 < 25.2/4.8 or  r < 5.25

Since the number of rotations must be less than 5.25, he can make 5 complete rotations.  

6 0
3 years ago
FREE 100 POINTS AFTER YOU ANSWER
Step2247 [10]

Answer:

the answer is 1

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
john receives a day worth of pay, p, for 4 days of newspaper delivery. He spent half of his money on gas. Then he spent 5$ on co
kirill [66]

Answer:

Let's assume John gets p for each day so his total is 4p. He spends half of that on gas, (4p)/2 = 2p. He has 2p left. Now subtract 5 from 2p for the coffee, and there is 35 left. So 2p - 5 = 35. Right? Now you can solve for p, by simplifying that equation.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • How do you solve the radical equation of square root x=10
    13·1 answer
  • Can you guys plz help me quick What is 4y - 8
    6·1 answer
  • 22.What is a solution to (x + 6)(x + 2) = 60?<br> A. x= -6<br> B. x=-4<br> C. X= 4<br> D. x = 12
    6·2 answers
  • Help me please and thank you
    11·2 answers
  • 30 meter building casts a shadow the distance from the top of the building to the tip of the shadow is 37 M find the length of t
    5·1 answer
  • What is 17.0891 rounded to the nearest tenth?
    11·2 answers
  • Use the diagram to find the height of statue.round to the nearest tenth
    12·1 answer
  • 50×60×8000 f(x)=4000× f (y)=​
    8·1 answer
  • I need help with my imagine math
    14·1 answer
  • Find the output, k, when the input, T. iS<br> 5.<br> 67 + 100
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!