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Tatiana [17]
3 years ago
7

For what value of x does 3^2x=9^3x-4

Mathematics
2 answers:
AVprozaik [17]3 years ago
8 0
ANSWER

The value of x for which
{3}^{2x}  =  {9}^{3x - 4}
is
x = 2


EXPLANATION

The given equation is
{3}^{2x}  =  {9}^{3x - 4} .
This is an indicial equation or an exponential equation in x.


We can see that, this time, the variable is in the numerator.


So we need to express both sides of the equation to the same base to obtain,


{3}^{2x}  =  { 3 }^{2(3x - 4)}


Since the base are the same, we can now equate the exponents to get,



2x = 2(3x - 4)


When we divide both sides of the equation by 2, we obtain,


x = 3x - 4


We now group like terms to obtain,


x - 3x =   - 4


We simplify the left hand side to get,


- 2x =  - 4


We finally divide through by negative 2 to obtain,

x = 2
Therefore the correct answer is B.
jek_recluse [69]3 years ago
4 0
The answer is x=2. Hope this helps!!!
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Option C

For each value of y, -2 is a solution of -21 = 6y - 9

<u>Solution:</u>

Given, equation is – 21 = 6y – 9  

We have to find that whether given set of options can satisfy the above equation or not

Now, let us check one by one option

<em><u>Option A) </u></em>

Given option is -5

Let us substitute -5 in given equation

- 21 = 6(-5) – 9

- 21 = -30 – 9  

- 21 = - 39  

L.H.S ≠ R.H.S ⇒ not a solution

<em><u>Option B)</u></em>

Given option is 3

- 21 = 6(3) – 9  

- 21 = 18 – 9  

- 21 = 9  

L.H.S ≠ R.H.S ⇒ not a solution

<em><u>Option C)</u></em>

Given option is -2

- 21 = 6(-2) – 9  

- 21 = - 12 – 9  

- 21 = - 21  

L.H.S = R.H.S ⇒ yes a solution

<em><u>Option D)</u></em>

- 21 = 6(9) – 9

- 21 = 54 – 9  

- 21 = 45  

L.H.S ≠ R.H.S ⇒ not a solution

Hence, the solution for the given equation is – 2, so option c is correct

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3 years ago
One canned juice drink is 20% orange juice; another is 10% orange juice l. How many liters of each should be mixed together in o
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Answer:

There is not enough information to answer, you did not say measurements of both drinks.

Step-by-step explanation:

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II The small capillaries in the lungs are in close contact with the alveoli. A red blood cell takes up oxygen during the 0.5s th
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The diffusion time of the red blood cell to take oxygen through the membrane is 25uS.

The small capillaries in the lungs are in close contact and it takes a red blood cell 0.5 seconds to squeeze through the capillary.

The diffusion time for the oxygen across the 1 um thick membrane separating the air is given by,

t = x²/2D

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t is the diffusion time,

x is the thickness of the membrane,

D is the diffusion coefficient.

Putting values,

t = (1 x 10⁻⁹)²/2 x 2 x 10⁻¹¹

t = 10⁻⁷/4

t = 25 x 10⁻⁹ seconds.

t = 25 uS.

so, the diffusion time is 25uS.

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3 0
1 year ago
the school decides to raise prices of lunches. The old price for a lunch was $0.75 . Seth buys the school lunch 5 days a week. w
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Step-by-step explanation:


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The ratio of money in Obi's wallet to Rudy's wallet one day was 5:2.
mamaluj [8]

Answer:

The amount that Obi initially had was £20

Step-by-step explanation:

Let

x ----> amount that Obi initially has

y ----> amount that Rudy has

we know that

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x=2.5y ----> equation A

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Solve the system by substitution

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Find the value of x

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