momo
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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
x correct answers
23 - x incorrect answers
82 = 4x + -1(23 - x) = 3x - 23
105 = 5 x
x = 105/5 = 21
21 right 2 wrong 2 unanswered
Check: 4(21) -1(2) = 84-2=82 good
The value of the land increases by 13.17% each year So it's growth function which is V (t)=15000 (1+r)^t Where r is the growth rate which is in decimal 13.17/100=0.1317
So it's
D) V(t) = 15000(1.1317)t; growth