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
zlopas [31]
3 years ago
5

Can someone please show how to solve this ln(5x-1)+ln(x-6)=ln6 ???

Mathematics
2 answers:
Virty [35]3 years ago
8 0
When you add ln, you multiply
ln((5x-1)(x-6)=ln6  do now FOIL
ln(5x^2-30x-x+6)=ln6
therefore
5x^2-31x+6=6 and 
5x^2-31x=0 furthermore 
x(5x-31)=0
one solution is 0, which we will reject
the other solution is 5x=31
x=31/5
miv72 [106K]3 years ago
5 0
Ln(5x - 1) + ln(x - 6) = ln(6)
ln((5x - 1)(x - 6)) = ln(6)
            ln(5x(x - 6) - 1(x - 6) = ln(6)
ln(5x(x) - 5x(6) - 1(x) - 1(-6)) = ln(6)
ln(5x² - 30x - x + 6) = lm(6)
ln(5x² - 31x + 6) = ln(6)
     5x² - 31x + 6 = 6
5x² - 31x + 6 - 6 = 6 - 6
     5x² - 31x + 0 = 0
x = <u>-(-31) +/- √((-31)² - 4(5)(0))</u>
                       2(5)
x = <u>31 +/- √(961 - 0)</u>
                 10
x = <u>31 +/- √(961)
</u>              10<u>
</u>x = <u>31 +/- 31
</u>           10<u>
</u>x = <u>31 + 31</u>    x = <u>31 - 31
</u>          10                  10<u>
</u>x = <u>62</u>             x = <u>0
</u>      10                  10<u>
</u>x = 6²/₅            x = 0
You might be interested in
Evaluate the following for g(0).g(x)=-9x-15<br>​
Karolina [17]
G(x)= -9(0)-15
G(x)= -15
The answer is -15
6 0
3 years ago
What is the value of a good credit report to a borrower? A. A good credit report allows the borrower to spend as much as they wa
Alecsey [184]
I think all of the above apply 
5 0
3 years ago
Mr. Rivera pours 2 cups of blue paint into a jar for each art station. How many jars can
Semmy [17]

Given :

Mr. Rivera pours 2 cups of blue paint into a jar for each art station.

1 cup = 8 ounces.

1 gallon = 128 ounces.

To Find :

How many jars can  he fill with 1 gallon of blue paint.

Solution :

Since, a jar is filled with 2 cups.

1 jar = 2 × 8 = 16 ounces.

So, number of jars required to fill 1 gallon of blue paint is :

n=\dfrac{128}{16}\\\\n=8

Therefore, 8 jars are required to fill 1 gallon of blue paint.

Hence, this is the required solution.

6 0
3 years ago
PLEASE HELP ME
Mila [183]

Answer:

(i)

time to bounce in one direction is 0.75 sec

(ii)

time to bounce in other direction is 1.5 sec

(iii)

total time is 2.25 sec

Step-by-step explanation:

Time to bounce in one direction:

we can see that height is increasing till t=0.75sec

so, time to bounce in one direction is 0.75 sec

Time to bound in other direction:

we can see that height is decreasing from t=0.75 to 2=2.25 sec

so, time to bounce in other direction is 2.25-0.75

=1.5 sec

Total time :

We know that

total time = (time to bounce in one direction)+(time to bounce in other direction)

now, we can plug values

total time =0.75+1.5=2.25 sec


4 0
3 years ago
Read 2 more answers
Does someone know what 1/2 - 3 1/3 = is
photoshop1234 [79]

Answer:

-9.83333

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • A survey of 225 students showed the mean number of hours spent studying per week was 20.6 and the standard deviations was 2.7
    14·2 answers
  • There are 4 boys and 2 girls from the seventh grade and 3 boys and 5 girls from the eighth grade on the soccer team. Coach Foste
    8·1 answer
  • What is the value of the function when x = 4?<br><br> y = 3x + 7
    9·2 answers
  • You have 8 gallons of lemonade to sell. You use cone-shaped cups that are 9 centimeters in diameter and 12 centimeters tall. Eac
    10·1 answer
  • ΔHAT is similar to ΔCAN.
    11·2 answers
  • PLZ HELP ASAP A candy machine contains spherical candies. Each candy is solid and has a diameter of 0.25 in.
    15·1 answer
  • 11+2p= p +4<br> What is the answer for this ? Please help !
    8·1 answer
  • What is the GCF of 36 and 48
    12·2 answers
  • Select the correct answer.
    6·1 answer
  • The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!