Answer: Third Option
![x=1.469743](https://tex.z-dn.net/?f=x%3D1.469743)
Step-by-step explanation:
We have the following exponential equation
![3^{x+1}=15](https://tex.z-dn.net/?f=3%5E%7Bx%2B1%7D%3D15)
We must solve the equation for the variable x
To clear the variable x apply the
function on both sides of the equation
![log_3(3^{x+1})=log_3(15)](https://tex.z-dn.net/?f=log_3%283%5E%7Bx%2B1%7D%29%3Dlog_3%2815%29)
Simplifying we get the following:
![x+1=log_3(15)](https://tex.z-dn.net/?f=x%2B1%3Dlog_3%2815%29)
To simplify the expression
we apply the base change property
![log_b(y)=\frac{log(y)}{log(b)}](https://tex.z-dn.net/?f=log_b%28y%29%3D%5Cfrac%7Blog%28y%29%7D%7Blog%28b%29%7D)
This means that:
![log_3 (15)=\frac{log(15)}{log(3)}](https://tex.z-dn.net/?f=log_3%20%2815%29%3D%5Cfrac%7Blog%2815%29%7D%7Blog%283%29%7D)
Then:
![x+1=\frac{log(15)}{log(3)}](https://tex.z-dn.net/?f=x%2B1%3D%5Cfrac%7Blog%2815%29%7D%7Blog%283%29%7D)
![x=\frac{log(15)}{log(3)}-1](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Blog%2815%29%7D%7Blog%283%29%7D-1)
![x=1.469743](https://tex.z-dn.net/?f=x%3D1.469743)
Hey there! I'm happy to help!
A militia is a local army. During the Battle of Lexington and Concord, the local militia (called minutemen), the militia outnumbered the British at Concord and chased them all the way back to Boston. The militia aided in many American victories during the Revolutionary War.
I hope that this helps! Have a wonderful day! :D
Answer:
13 < n < 51
Explanation:
Basically to find the lowest possible length, all you need to do is subtract the lower number from the higher number (32 - 19), and to find the greatest possible length, add the lower number and the higher number (32 + 19). Then you'd plug it in to this inequality: a < n < b, a being the difference, and b being the sum. But, if the triangle were a right triangle that would be a whole different story.
The area<span> and the </span>circumference<span> of a circle. Make sure that you remember that a</span>circumference<span> is a length and so is measured , , etc. Remember as well that </span>area<span> is measured in square units, , etc. All of these calculations will involve the use of Pi ( ) which you can take as being equal to .</span>
Her house is 24 feet tall = 24*12 inches = 288 inches
SO, 288/8 = 36 (Scaling factor)
5feet * 12 inches/feet = 60 inches
60 inches /36 = 1.667 inches.................< Figurine