Answer:
![y = \frac{1}{4} \times {2}^{x} - 1](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20%20%5Ctimes%20%20%7B2%7D%5E%7Bx%7D%20%20-%201)
Step-by-step explanation:
Assuming the given logarithmic equation is
![y = \log_{2}( {4}{x } - 4)](https://tex.z-dn.net/?f=y%20%3D%20%20%20%5Clog_%7B2%7D%28%20%7B4%7D%7Bx%20%7D%20%20-%204%29%20)
We interchange x and y to get:
![x= \log_{2}( {4}{y} - 4)](https://tex.z-dn.net/?f=x%3D%20%20%20%5Clog_%7B2%7D%28%20%7B4%7D%7By%7D%20-%204%29%20)
We solve for y now:
![{2}^{x} = {4}{y} - 4](https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bx%7D%20%20%3D%20%20%7B4%7D%7By%7D%20%20%20-%204)
We add 4 to both sides to get;
![{2}^{x} + 4 = 4y](https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bx%7D%20%20%2B%204%20%3D%204y)
Divide through by 4:
![y = \frac{1}{4} \times {2}^{x} - 1](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20%20%5Ctimes%20%20%7B2%7D%5E%7Bx%7D%20%20-%201)
Answer:
6
Step-by-step explanation:
Rule for divisibilty of 6:
- sum of place values is a multiple of 3
- an even number
Step 1: dd the integers
- 7 + 6 + 8 + 7 + 2 + x
- 30 + x
Now, we have a couple options:
You can use any of these three values,
But the number has to be even, so the last digit has to be even. The correct answer is 6.
-Chetan K
Answer:
5 cents each
Step-by-step explanation:
1.00 $ is equal to 100 pennies, so 100 ÷ 20 is 5, to check 5 cents times 20 is 100 cents or 1.00 $
Answer:
25 * 10^6
But 10^6 is the same as multiply 10 six times, that is, 10 * 10 * 10 * 10 * 10 * 10 * 10. The result is as simple as writing 1 and six zeros, that is, counting the number of zeros I can see. So, 10^6 = 1000000.
Now, 25 * 10^6 = 25 * 1000000
The final answer is 25000000
Step-by-step explanation: