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
Write 12,430,000 in expanded form
lina2011 [118]
12,000,000+400,000+30,000+
8 0
3 years ago
Help pleaseeeeee!!!!!!!!!!!!!!!
diamong [38]

Answer:

2 meters

Step-by-step explanation:

We need to use trigonometry for this. The appropriate one would be tangent, which is (opposite side) divided by (adjacent side).

In this case, the opposite side of angle A is BC, which is 6 meters. The adjacent side of angle A is AB, which is the ground. Since we don't know its length, we call it x.

Now, we write:

tan(72) = 6/x

To solve, we just multiply both sides by tan(x) and x:

x = 6/[tan(72)] ≈ 1.95 meters ≈ 2 meters.

Thus, the answer is 2 meters.

Hope this helps!

4 0
3 years ago
HELP PLEASE
Westkost [7]

Answer:

So in other words, each week he works, he gets an additional $10, to add to his collection of really $75.

Step-by-step explanation:

so, he has $85 in savings, and that he has the opportunity to gain allowance by the following function of 10(x-1).  

total funds(x) = 85 + 10(x-1)  

T(x) = 85 + 10x - 10  

T(x) = 10x + 75

8 0
3 years ago
Which two numbers add up to -19 and multiply to make 35
iris [78.8K]

x+y = -19
x*y  = 35

x=-19-y
(-19-y)y = 35
y^2 +19y +35 = 0
y = -2.066965626
therefore x=35/y = -16.93303437

4 0
3 years ago
Has anyone have a friend that became so close to you and then she or he started ignoring you for the rest of the time and even b
Alex787 [66]

Answer:

yeah it sucks I'm sorry that happened to you. it'll get better. never be friends with that toxic person again.

3 0
3 years ago
Other questions:
  • A cell phone company charges a monthly fee plus $0.25$0.25 for each text message. The monthly fee is $30.00$30.00 and you owe $5
    9·1 answer
  • Sharon and Tim each opene a savings account on the same day. Sharon started by putting $15 in her account, and she will deposit
    10·2 answers
  • What is the cube root of 12? I have to show my work using common core.
    15·1 answer
  • How many midsegments does every triangle have
    9·2 answers
  • 218 rounded to nearest 10
    11·2 answers
  • What is the answer and and show me how to show my work
    8·1 answer
  • I have an assignment due today. I need help.
    12·1 answer
  • I need help solving question 56, 58 and 59.
    12·1 answer
  • Multiply. Use a model to help.<br> 5/6<br> of 12 =
    6·2 answers
  • Find y<br> I will give brainlist
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!