Given the function f (x) = 3x, find the value of f-1 (81).
For this case, the first thing you should do is rewrite the function.
We have then:
y = 3 ^ x
From here, we clear the value of x:
log3 (y) = log3 (3 ^ x)
log3 (y) = x
Then, we rewrite the function again:
f (x) ^ - 1 = log3 (x)
Now, we evaluate the inverse function for x = 81:
f (81) ^ - 1 = log3 (81)
f (x) ^ - 1 = 4
Answer:
the value of f-1 (81) is:
f (x) ^ - 1 = 4
Answer:
.27
Step-by-step explanation:
Answer:
4^-2
Step-by-step explanation:
The rules of exponents tell you ...
(a^b)(a^c) = a^(b+c)
This means ...
(4^6)(4^-8) = 4^(6-8) = 4^-2
I think the correct answer is 17
Answer:
The length is 30 cubic yards.
Step-by-step explanation:
To find volume you use equation V=LxWxH
Since we already know the height, width, and volume we can input them into the equation.
18,720=L x 24 x 26
As you can see, the length is still unknown.
To figure it out though, you can multiply the height and width of the prism,
24 x 26 = 624
And then divide the volume, 18,720 by it.
18,720/624 = 30
Thus, your length is 30 cubic yards.
