i think you have to multiply those. thats it
assuming you means k = log_2(3) [as log(2)3 is the same thing as 3log(2) due to multiplication being commutative]
given log(ab) = log(a) + log(b)
log_2(48) = log_2(3) + log_2(16)
9 is the answer!!!!!!!!!!!!!!!!!!!!!!
Answer: 
Step-by-step explanation:
You can do long division, which is very very hard to show with typing on a keyboard. You essentially want to divide the leading coefficient for each term. Ill try my best to explain it.
Do
. Write 2x^2 down. Now multiply (x - 3) by it. Then subtract it from the trinomial.

Now do
. Write that down next to your 2x^2. Multiply 3x by (x - 3) to get:

Your final step is to do
. Write this -2 next to your other two parts
Multiply -2 by (x - 3) to get:

Our remainder is 0 so that means (x - 3) goes into that trinomial exactly:
times
Answer:
Hypotenuse = 6
Step-by-step explanation:
Find attached diagram used in solving the question.
The triangle is a 45°-45°-90° triangle meaning it's two legs are equal. The opposite = adjacent
Since we are told to find hypotenuse, it means the length given = opposite = adjacent = 3√2
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse ² = (3√2)² + (3√2)²
Hypotenuse ² = 9(2)+9(2) = 18+18
Hypotenuse ² = 36
Hypotenuse = √36
Hypotenuse = 6