Log₂(6x) - log₂(√x) = 2
log₂[6x/√x] = 2, let's rewrite it in terms of exponent:
(remember : ㏒₂(x) = a (in exponential form) → x = 2ᵃ
6x/√x = 2²
6x/√x = 4, square both sides:
36x²/x = 16 .Simplify:
36x = 16 and x = 16/36 . So x = 4/9
The length of the rectangle is x and the height is x-2
To find the area of a rectangle you multiply length times width
l(w) = 146
x(x-2) = 146
x^2 - 2x = 146
Answer:
3/12-11/12= -8/12
Step-by-step explanation: