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
Zero product states : if a * b = 0, then a = 0 and/or b = 0
(x - 3)(x + 6) = 0
x - 3 = 0
x = 3
x + 6 = 0
x = -6
so x = 3 and x = -6
Answer:
A
Step-by-step explanation:
Answer:
The fourth graph
Step-by-step explanation:
Let x = width
The length is one less than 3 times the width, so length = 3x - 1
So we have a rectangle with length, 3x - 1, and width, x
So the area = y = (3x-1)(x)
So our equation:
y = (3x - 1)*(x)
If we check the x-intercepts, we see that y = 0 when x = 0 and 1/3. The only graph that has (0,0) and (1/3, 0) is the fourth graph, making that one our graph.
He has to mow 14 yard to get at least 200 but he will have 10 extra dollars.
