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tiny-mole [99]
3 years ago
7

{3x=2y+6y=x+2 What is the answer

Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

{3x=2y+6y=x+2=3

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olga2289 [7]

First of all, we need all logarithms to have the same base. So, we use the formula

\log_a(b)=\dfrac{\log_c(b)}{\log_c(a)}

To change the second term as follows:

\log_4(x^2)=\dfrac{\log_2(x^2)}{\log_2(4)}=\dfrac{\log_2(x^2)}{2}

Finally, using the property

\log(a^b)=b\log(a)

we have

\dfrac{\log_2(x^2)}{2}=\log_2(x)

So, the equation becomes

\log_2(3x+4)-7\log_2(x)+\log_2(x)=2 \iff \log_2(3x+4)-6\log_2(x)=2

We can now use the formula

\log(a)-\log(b)=\log\left(\dfrac{a}{b}\right)

to write the equation as

\log_2(3x+4)-6\log_2(x)=2 \iff \log_2(3x+4)-\log_2(x^6)=2 \iff \log_2\left(\dfrac{3x+4}{x^6}\right)=2

Now consider both sides as exponents of 2:

\dfrac{3x+4}{x^6}=4 \iff 4x^6-3x-4=0

This equation has no "nice" solution, so I guess the problem is as simplifies as it can be

5 0
3 years ago
Need help getting stuck on this problem
stepan [7]

Answer:

  • Variable x in first equation

Step-by-step explanation:

<u>Given system</u>

  • x = 5y - 1
  • x + 2y = 13

Variables in this system are x and y.

Isolating a variable means rearranging the equation so that a variable of our interest is on its own in one side of the equal sign.

We see <u>variable x is isolated </u>in the first equation.

In the second equation both of the variables are on the same side so they are not isolated.

3 0
2 years ago
An 18-foot piece of rope costs $17.82. What is the price per yard?​
Masja [62]
17.82 / 18 = .99

.99 per yard!
3 0
3 years ago
Write a rule for the translation of ABC to A' B' C'
Anvisha [2.4K]

Answer:

(x-2,y-4)

Step-by-step explanation:

Here, we want to calculate the rule for the translation

From the question, we can see that the new image was just formed as a movement of the old image by some particular units

The x-axis was move sideways while the y-axis was moved further down

The number of units is thus;

Y from 12 to 8

A movement of -4

For the x-axis

we have a movement of two units toward the left

So the rule is;

(x,y) to (x-2, y-4)

5 0
2 years ago
Write your own story using fractions
VLD [36.1K]

Answer:

you have to make a story in which there should be some problems in which the characters solve it by using fractions basically its a story sum with an answer but with more drama and climax

Step-by-step explanation:

i think this'll help your problem

5 0
2 years ago
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