Answer:
log₅(3125) = 5
Step-by-step explanation:
Given:
log₅(3125)
Now,
using the property of log function that
logₐ(b) = 
thus,
Therefore, applying the above property, we get
⇒
(here log = log base 10)
now,
3125 = 5⁵
thus,
⇒ 
Now,
we know from the properties of log function that
log(aᵇ) = b × log(a)
therefore applying the above property we get
⇒ 
or
⇒ 5
Hence,
log₅(3125) = 5
The answer is D. This is because all of the variables must be on one side so it can be factored.
Answer:
First, find 20% of the 200 books. Then, subtract that amount by the total and divide that amount by 20 to receive your answer.
Step-by-step explanation:
20 x 200
/100 = 40
Therefore, there are 40 books missing.
200-40 = 160
160/20 = 8 shelves are filled with books.
There are 10 shelves in total: 160 books are on 8 shelves and 40 books are missing for 2 shelves
Answer:
Step-by-step explanation:
I don't think this can be done without the diagram. You do not know what HD is opposite. I will take a guess that it is opposite TU which makes TU = 220 because both H and D are midpoints and that makes TU twice as large as HD.
If this is incorrect, post the diagram.
Answer:
sphere a: 33.51 and sphere b: 268.08
Step-by-step explanation:
math