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
Answer:
In December, Zalma will have $480.
Step-by-step explanation:
The time from March to October is 7 months. In those 7 months, she gains $280. So every month, her investment gains $40.
The time from March to December is 9 months. She will gain $360 during that time. We add her initial $120 with the $360, and Zalma will have $480.
It's not confirmed, but it's what I got. :D