Answer:
![x=2.170](https://tex.z-dn.net/?f=x%3D2.170)
Step-by-step explanation:
The given equation is
.
We take logarithm of both sides to base 2 to get:
![\log_2(2^{x+1})=\log_29](https://tex.z-dn.net/?f=%5Clog_2%282%5E%7Bx%2B1%7D%29%3D%5Clog_29)
Apply the power rule of logarithms to get:
![x+1=\log_29](https://tex.z-dn.net/?f=x%2B1%3D%5Clog_29)
We now apply the change of base formula:
![x+1=\frac{\log_{10}9}{\log_{10}2}](https://tex.z-dn.net/?f=x%2B1%3D%5Cfrac%7B%5Clog_%7B10%7D9%7D%7B%5Clog_%7B10%7D2%7D)
![x+1=\frac{0.9542}{0.3010}](https://tex.z-dn.net/?f=x%2B1%3D%5Cfrac%7B0.9542%7D%7B0.3010%7D)
![x+1=3.1701](https://tex.z-dn.net/?f=x%2B1%3D3.1701)
![x=3.1701-1](https://tex.z-dn.net/?f=x%3D3.1701-1)
![x=2.1701](https://tex.z-dn.net/?f=x%3D2.1701)
To the nearest thousandth, ![x=2.170](https://tex.z-dn.net/?f=x%3D2.170)
25 less than 0.6 times a number
Answer:
<h2>12) There are 534 students who do not lunch in school.</h2>
Step-by-step explanation:
<h3>12. </h3><h3>Simple solution: </h3><h3>890 ÷ 5 = 178 </h3><h3>Therefore: 1/5 = 178 </h3><h3 /><h3>•To find the 2/5 of the students, we have to multiply 178 by 2</h3><h3>178 × 2 = 356</h3><h3>Therefore, 356 students stay to have lunch.</h3><h3 /><h3>•To find the remaining students who do not lunch in school, we have to subtract 356 to 890.</h3><h3>890 - 356 = 534</h3><h3>Therefore, there are 534 students who do not lunch in school.</h3><h3 /><h3 />
The correct answer is X = -5
Just divide 20/23 and you'll get 0.8695652174 which is also rounded up to 0.87