Answer:
2172.7
Step-by-step explanation:
The given line has a slope of -1 so the perpendicular line will have a slope of -1/1=1
y=x+5
Answer:
log₅(3125) = 5
Step-by-step explanation:
Given:
log₅(3125)
Now,
using the property of log function that
logₐ(b) = ![\frac{\log(b)}{\log(a)}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Clog%28b%29%7D%7B%5Clog%28a%29%7D)
thus,
Therefore, applying the above property, we get
⇒
(here log = log base 10)
now,
3125 = 5⁵
thus,
⇒ ![\frac{\log(5^5)}{\log(5)}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Clog%285%5E5%29%7D%7B%5Clog%285%29%7D)
Now,
we know from the properties of log function that
log(aᵇ) = b × log(a)
therefore applying the above property we get
⇒ ![\frac{5\log(5)}{\log(5)}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Clog%285%29%7D%7B%5Clog%285%29%7D)
or
⇒ 5
Hence,
log₅(3125) = 5
A prime number is a number that has only two factors: 1 and itself
For example, the number 7 has two factors: 1,7 This makes 7 a prime number
Since the number has to be greater than 50, we can go to the next whole number; 51
51 has four factors, 1,3,17,51 This is not our prime number
52 is even so obviously it's not prime because you can divide by two
53 has only two factors; 1,53 This means that its prime and the answer is 53 :)
If you have any questions feel free to ask