Answer:
a =
Step-by-step explanation:
Given:
f(x) = log(x)
and,
f(kaa) = kf(a)
now applying the given function, we get
⇒ log(kaa) = k × log(a)
or
⇒ log(ka²) = k × log(a)
Now, we know the property of the log function that
log(AB) = log(A) + log(B)
and,
log(Aᵇ) = b × log(A)
Thus,
⇒ log(k) + log(a²) = k × log(a) (using log(AB) = log(A) + log(B) )
or
⇒ log(k) + 2log(a) = k × log(a) (using log(Aᵇ) = b × log(A) )
or
⇒ k × log(a) - 2log(a) = log(k)
or
⇒ log(a) × (k - 2) = log(k)
or
⇒ log(a) = (k - 2)⁻¹ × log(k)
or
⇒ log(a) =
(using log(Aᵇ) = b × log(A) )
taking anti-log both sides
⇒ a =
Answer:
363
Step-by-step explanation:
Formula for area of a circle
A = πr^2
Where r = radius
The circle has a given radius of 11
To find the area of the circle we simply substitute r in the formula with the value of the radius (11)
( Also note that the question says to use 3 for π )
A = πr^2
π = 3
r = 11
Substitute values in formula
A = (3)(11)^2
11^2 = 121
A = 121(3)
121(3) = 363
A = 363
Answer:
A) 2
Step-by-step explanation:
Answer: Square, cube, solid.
Step-by-step explanation: The following shape could pass for square cube and solid, because they all form a square - liked shape.
I'm not quite sure these are right. You might wanna check with a classmate or something first.
Step-by-step explanation:
(6x + 10) + (x + 17) + (4x - 34) = 180
11x - 7 = 180
11x = 173
x = 15.73 (answer had repeating decimal so i rounded up in the hundredths place)
(6x + 10)
6 (15.73) + 10
94.38 + 10
104.38
(x + 17)
(15.73) + 17
32.73
(4x - 34)
4(15.73) - 34
62.92 - 34
28.92