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
aliya0001 [1]
1 year ago
8

Log(x⁴+3x³) - log(X + 3 ) + log2 - log6 = 2logx . find the value of x

Mathematics
1 answer:
AfilCa [17]1 year ago
7 0

The given equation is

\begin{gathered} \log (x^4+3x^3)-\log (x+3)+\log 2-\log 6=2\log x \\ \log (\frac{x^4+3x^{3^{}}}{x+3})+\log \frac{2}{6}=\log x^2 \\ \log \frac{x^3(x+3)}{x+3}+\log \frac{1}{3}=\log x^2 \\ \log x^3+\log \frac{1}{3}=\log x^2 \\ \log \frac{x^3}{3}=\log x^2 \\ \frac{x^3}{3}=x^2 \\ x^3-3x^2=0 \\ x^2(x-3)=0 \end{gathered}

hence

x=0\text{ or x=3}

But x cannot be zero so x=3

So the value of x is 3

h

You might be interested in
at McDonalds a cheese burger, c, has 200 fewer calories that a large fry, f. two cheeseburgers and a large fry have 1100 calorie
lora16 [44]

Answer:

700 more caleries

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Give an example of an equation with an infinite number of solutions. Then make one change to the equation so that it has no solu
mrs_skeptik [129]
Two equations with infinite solutions would look the exact same. Example:
y=mx+b
y=mx+b
Example 2
y=2x+5
y=2x+5
For an equation with no solution they would have the same slope but different y intercepts. An equation with same slope and same y intercepts would have infinite solutions. 
5 0
3 years ago
What equation is equivalent to y = 2x + 3
PSYCHO15rus [73]

Answer:

you did not give us choices.

Step-by-step explanation:

6 0
3 years ago
If you divide a number by its square , would the quotient be smaller than the original number ?
Luden [163]

yes because its the square root. hope it helps

4 0
3 years ago
G(x) = -8x + 2, find<br><br> a. g(x+4)<br><br> b. g(x) + g(-2)
kondaur [170]

Answer:

g(x+4)= -8(x+4)+2

=-8x-32+2=-8x-30

g(x)+g(-2)=-8x+2+(-8(-2)+2)

=-8x+2+(16+2)

=-8x+20

a.=-8x-30

b.=-8x+20

8 0
3 years ago
Other questions:
  • Solve the equation 30=-5(m+6)+m
    5·1 answer
  • Orlando bought a new couch for $2,904, using the furniture store's finance plan. He will pay $121 a month for 24 months. Which e
    7·2 answers
  • Round 23,556 to the nearest ten thousand
    10·1 answer
  • Which of the following statements are true about the equation below?
    6·2 answers
  • The digit in the tens place is the value of a fraction with the same numerator and denominator
    11·1 answer
  • Solve (x +1 &lt;4) n (X-8 &gt;-7).<br> O x11 O {XIX&lt;3 or x&gt; 1}<br> O (all real numbers)
    13·1 answer
  • 8)<br> 8x + 6<br> 14x - 2<br> A) 11<br> C) 8<br> B) -9<br> D) -7
    5·1 answer
  • Please help me someone with this problem
    9·1 answer
  • During the basketball season, you scored 72 points in 6 games. If you scored the same numbers of points in each game, find the u
    6·1 answer
  • S + 1/4=12/1/2 what is s
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!