Answer:
C ![x=\frac{4}{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B4%7D%7B3%7D)
Step-by-step explanation:
The given logarithmic equation is:
![\log_{3x+4}(4096)=4](https://tex.z-dn.net/?f=%5Clog_%7B3x%2B4%7D%284096%29%3D4)
We rewrite in exponential form; to get;
![4096=(3x+4)^4](https://tex.z-dn.net/?f=4096%3D%283x%2B4%29%5E4)
We rewrite the LHS as a certain natural number exponent 4.
![8^4=(3x+4)^4](https://tex.z-dn.net/?f=8%5E4%3D%283x%2B4%29%5E4)
The exponents are the same, hence the bases must also be the same.
![\implies 3x+4=8](https://tex.z-dn.net/?f=%5Cimplies%203x%2B4%3D8)
![\implies 3x=8-4](https://tex.z-dn.net/?f=%5Cimplies%203x%3D8-4)
![\implies 3x=4](https://tex.z-dn.net/?f=%5Cimplies%203x%3D4)
Divide both sides by 3;
![\implie x=\frac{4}{3}](https://tex.z-dn.net/?f=%5Cimplie%20x%3D%5Cfrac%7B4%7D%7B3%7D)
The correct answer is C
Answer:
We can use linear system of equation with one variable.
Step-by-step explanation:
It is given that,Nina is 10 years younger than Deepak.
Deepak is 3 times as old as Nina.
<u>To solve this using linear equation</u>
Let d be the age of Deepak and n be the age of NIna
we can write,
n = (d - 10) ---(1)
d = 3n
d = 3(d - 10) --------(2)
d = 3d - 30
3d - d = 30
2d = 30
d = 30/2 = 15
n - d - 10 = 15 - 10 = 5
Therefore the age of Deepak = 15 and age of Nina = 5
<span>To answer this question, you need to know the rules to move a number to the left or right side of the equal sign. To solve this, you need to move all the x into one side, and then move the number into another side. The calculation would look like this:
2(x – 3) + 5x = 5(2x + 6)
2x -6 +5x = 10x +30
2x+ 5x - 10x = 30 +6
-3x= 36
x= 36/-3= -12</span>
Answer:
6
Step-by-step explanation:
A is the correct answer cause you get heads twice as often as tails