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
Vlad1618 [11]
3 years ago
5

Lg(10x+200)=lg

align="absmiddle" class="latex-formula">
+lg10​
Mathematics
1 answer:
Oksana_A [137]3 years ago
8 0

Answer: x = {-4, 5}

<u>Step-by-step explanation:</u>

log (10x + 200) = log (x²) + log (10)

log (10x + 200) = log (10x²)

     10x + 200 = 10x²

                   0 = 10x² - 10x - 200

                   0 = x² - x - 20

                   0 = (x - 5)(x + 4)

                   0 = x - 5    0 = x + 4

                  x = 5           x = -4

Check for extraneous solutions:

             10x + 200 > 0                  x² > 0

x = 5      10(5) + 200 > 0               (5)² > 0        both are satisfied

x = -4     10(-4) + 200 > 0             (-4)² > 0        both are satisfied

            Both solutions are valid!

 

You might be interested in
The product of two consecutive odd integers is 72. Write a quadratic equation to find the integers,
zimovet [89]

<u>Answer:</u>

x^2 + x - 72 = 0

<u>Explanation:</u>

We are given product of two consecutive odd integers is equal to 72.

Let one integer be x , then since these are consecutive and odd so the other integer will be equal to x + 1.  

Their product is equal to 72. So,

x * (x + 1) = 72

=> x^2 + x = 72

=>  x^2 + x - 72 = 0 is the required quadratic equation.

5 0
3 years ago
Brenda has money invested in Esti Transport. She owns two par value $1,000 bonds issued by Esti Transport, which currently sells
Debora [2.8K]

Answer:

B is the the answer but I'm not sure

7 0
3 years ago
How do I solve this?
Lady_Fox [76]

Answer:

Step-by-step explanation:

Ummm....

5 0
3 years ago
Y’all I am terrible at math please help me
aniked [119]
GCF = 3a^2b
Solution: A, u are correct :)
5 0
2 years ago
Read 2 more answers
X/(x-2) + (x-1)/(x+1) = -1 <br><br> How to solve?
kirill115 [55]
Multiply entire equation by (x-2)(x+1) to get rid of the denominators That would lead to X(x+1)+(x-1)(x-2)=-1(x-2)(x+1)
Finally, using distributive property and foil, you would get x^2+x+x^2-3x+2=(-x^2+x+2).2x^2-2x+2=-x^2+x+23x^2-3x=0
3x(x-1)x=0 and x=1

7 0
3 years ago
Other questions:
  • A theorem states that if f is continuous on an interval I that contains one local extremum at c and if a local minimum occurs at
    11·1 answer
  • 23. Business: Mixing Nuts A nut store normally sells cashews
    13·1 answer
  • 21 = 4 + t <br>enter your answer <br>t =​
    15·2 answers
  • A theater group made appearances in two cities. The hotel charge before tax in the second city was $ 500 lower than in the first
    7·1 answer
  • Plzz help! bralilest asap
    6·2 answers
  • What is 3.2 m converted to centimeters?
    14·2 answers
  • Two coins are in a hat. The coins look alike, but one coin is fair (with probability 1/2 of Heads), while the other coin is bias
    11·1 answer
  • A plane travels a distance of 22,000km in a time of 3.6 hours. What is its average speed rounded to the nearest whole number
    5·1 answer
  • I need help with the question
    6·1 answer
  • What is the volume of the prism with the dimensions given below? <br><br> 2/3m 1 1/8m 3 3/4m
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!