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
omeli [17]
3 years ago
15

How do I solve for x: (4/9)^(x) • (8/27)^(1-x) =2/3

Mathematics
2 answers:
asambeis [7]3 years ago
8 0

(\frac{4}{9})^x\cdot (\frac{8}{27})^{1-x} =\frac{2}{3}\\((\frac{2}{3})^2)^x\cdot ((\frac{2}{3})^3)^{1-x} =\frac{2}{3}\\(\frac{2}{3})^{2x}\cdot (\frac{2}{3})^{3-3x} =\frac{2}{3}\\(\frac{2}{3})^{2x+3-3x} =\frac{2}{3}\\(\frac{2}{3})^{-x+3} =\frac{2}{3}\\-x+3=1\\-x=1-3\\-x=-2\ /:(-1)\\x=2

exis [7]3 years ago
7 0
X=2

All this stuff is wrong I screwed up somewhere:
IGNORE EVERYTHING BELOW THIS:
take the natural log of both sides of the equation.

ln(( \frac{4}{9})^{x}  )   \times  \ ln(( \frac{8}{27})^{(1 - x)} ) =  ln( \frac{2}{3} )
Remembering your log rules:

ln( {a}^{b} )  = b  \: ln(a)
Using this rule we rewrite the first equation:
x \:  ln( \frac{4}{9} )  \times (1 - x) \:  ln( \frac{8}{27} )  =  ln( \frac{2}{3} )
Simplify:
x ln( \frac{4}{9} )  \times ( ln( \frac{8}{27}) - x \:  ln( \frac{8}{27} )  )
Solve for some of these ln's to make life easier:

- .81x \:  \times ( - 1.22 - 1.22x) =  - .41
Distribute:
(.988x + .988x^{2} ) =  - .41

Factor out .988
.988(x +  {x}^{2} ) =  - .41 \\ (x +  {x}^{2} ) =  \frac{ - .41}{.988}  \\ (x +  {x}^{2} ) = -  .415
You might be interested in
Can someone please help me
Irina18 [472]

Answer:

-11, -5, -23, 7

Step-by-step explanation:

plug in the h value into equation

-2(2)-7

-11

-2(-1)-7

-5

-2(8)-7

-23

-2(-7)-7

7

5 0
3 years ago
Select the correct symbol.<br><br> 0.88 ? 0.178<br> A.
crimeas [40]

Answer:

<

Step-by-step explanation:

0.88 = 88%

0.178 = 17.8%

Therefore, 0.178 < 0.88

8 0
3 years ago
Least commom multiple of 2 and 4?
Ivan

Answer:

4

<em>BRAINLIEST, PLEASE!</em>

Step-by-step explanation:

Multiples of 2: 2, <u>4</u>, 6, 8, 10

Multiples of 4: <u>4</u>, 8, 12, 16, 20

5 0
3 years ago
Evaluate the expression w 2 - v + 1 for w = -2 and v = -8.
Angelina_Jolie [31]
2w-v+1
2(-2)-(-8)+1
-4+8+1
4+1
5
Your answer is 5

3 0
3 years ago
What are the factors of the trinomial? Check all that apply
zmey [24]

For this case, the first thing we should do is write the trinomial.

To do this, we add similar terms.

We have then:

x ^ 2 + 2x - 7x - 7 - 7

Then, rewriting the trinomial we have:

x ^ 2 + 2x - 7x - 14

Then, the trinomial is given by:

x ^ 2 - 5x - 14

Factoring we have:

x (x + 2) -7 (x + 2)

Rewriting we have:

(x + 2) (x-7)

Answer:

The trinomial factors are given by:

(x + 2)\\(x-7)

5 0
3 years ago
Other questions:
  • Emily and a friend bought two tickets to see a soccer game. Each ticket cost $8.25. The friends paid a total of $24.50, which in
    12·1 answer
  • X divided by -7 is less than or equal too 8
    8·1 answer
  • What is 10 and 7/12 in simplest form
    14·2 answers
  • Solve each equation. Show all steps and work. your answers to four decimal places.
    14·1 answer
  • Witch table represents a linear function ?
    6·1 answer
  • Danessa is working with consecutive even numbers. If x is her first number, which expression represents her second number? O x +
    11·1 answer
  • Distribute and evaluating <br> (X + 6) (x - 3)
    5·2 answers
  • Help me with this answer please
    6·2 answers
  • 1. Find value of x and measure of each angle.
    12·1 answer
  • Please help me this is hard and its due today!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!