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
valentina_108 [34]
3 years ago
10

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

Mathematics
1 answer:
Stels [109]3 years ago
6 0

Answer:

Option C - Simplify the right side using the "difference of two logs is the log of the quotient" property.

Step-by-step explanation:

Given : Expression \ln (x-1)=\ln 6-\ln x

To find : What is the first step in solving  the expression ?

Solution :

Expression \ln (x-1)=\ln 6-\ln x

Step 1 - Simplify the right side using the "difference of two logs is the log of the quotient" property.

i.e. \ln a-\ln b=\ln(\frac{a}{b})

Apply the first step we get,

\ln (x-1)=\ln(\frac{6}{x})

Therefore, Option C is correct.

You might be interested in
What is the quotient in simplest form?<br> 12<br> 7<br> 7<br> O<br> 36<br> 3<br> O<br> 5<br> 5
Firdavs [7]
The answer is 4/7. Hope this helps
6 0
2 years ago
In △ABC, ∠ABC = 60○
Temka [501]

A given shape that is <u>bounded</u> by three sides and has got three <em>internal angles</em> is referred to as a <u>triangle</u>. Thus the <em>value</em> of PB is <u>8.0</u> units.

A given <u>shape</u> that is <em>bounded</em> by three <em>sides</em> and has got three <em>internal angles</em> is referred to as a <em>triangle</em>. Types of <u>triangles</u> include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The<em> sum</em> of the <u>internal</u> <u>angles</u> of any triangle is 180^{o}.

In the given question, point P is such that <APB = <APC = <BPC = 120^{o}. Also, line PB bisects <ABC into two <u>equal</u> measures. Thus;

<ABP = 30^{o}

Thus,

<ABP + <APB + <BAP = 180^{o}

30 + 120 + <BAP = 180^{o}

<BAP = 180^{o} - 150

<BAP = 30^{o}

Apply the <em>Sine rule</em> to determine the <u>value</u> of <em>PB</em>, such that;

\frac{AP}{Sin B} = \frac{BP}{Sin30}

\frac{8}{Sin30} = \frac{BP}{Sin 30}

BP = \frac{8*Sin30}{Sin 30}

     = \frac{4}{0.5}

BP = 8.0

Therefore, the <u>value</u> of <u>BP</u> = 8 units.

For more clarifications on applications of the Sine rule, visit: brainly.com/question/15018190

#SPJ1

8 0
2 years ago
Please help! I’ll mark you brainlist
inna [77]

Answer:

B

Step-by-step explanation:

a relation is not a function when input value leads to two or more outputs

5 0
2 years ago
Hey if someone could please help me with this i waould be very greatful
Molodets [167]

Answer:

40%

Step-by-step explanation:

2/5x100%=40%

7 0
3 years ago
Read 2 more answers
During a scuba dive, Lainey descended to a point 19 feet below the ocean surface. She continued her descent at a rate of 25 feet
Leno4ka [110]

Answer:

25t+19\leq 144

t\leq5

The number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is <u>at most 5 minutes.</u>

Step-by-step explanation:

Given:

Initial depth of the scuba dive = 19 ft

Rate of descent = 25 ft/min

Maximum depth to be reached = 144 ft

Now, after 't' minutes, the depth reached by the scuba dive is equal to the sum of the initial depth and the depth covered in 't' minutes moving at the given rate.

Framing in equation form, we get:

Total depth = Initial Depth + Rate of descent × Time

Total depth = 19+25t

Now, as per question, the total depth should not be more than 144 feet. So,

\textrm{Total depth}\leq 144\ ft\\\\19+25t\leq 144\\\\or\ 25t+19\leq 144

Solving the above inequality for time 't', we get:

25t+19\leq 144\\\\25t\leq 144-19\\\\25t\leq 125\\\\t\leq \frac{125}{25}\\\\t\leq 5\ min

Therefore, the number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is at most 5 minutes.

7 0
3 years ago
Other questions:
  • Whats a equivalent fraction to 12/40
    6·2 answers
  • F(x)=x+3 and g(x)=x-5
    9·1 answer
  • Write an equation in point-slope form and slope-intercept form for each line: Passes through (3,-6) and (-1,2) 
    9·1 answer
  • When you multiply (3+6i)(3+7i) you get an answer of the form a+bi. Find a.
    14·1 answer
  • Solve for a:<br> 35= -7a+14
    11·2 answers
  • A college received 90% of its order of laptop keyboards from a vendor.
    7·1 answer
  • What is between 4/5 and 4/6
    6·2 answers
  • Need help!! don't post none helpful answer or I will report you
    15·2 answers
  • Please help me with this question! And please provide answer in inequalities form! Thanks so much!
    7·1 answer
  • A box contains orange balls and green The number of more four the number of orange If there 38 balls how many green balls and ho
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!