Answer:
x = 5
Step-by-step explanation:
because the log is base 2 you can remove the log by raing 2 to the power of each side:

the 2 and log2 cancel leaving:

this means we can now solve through simple algebra:

The value of x is
-4x + 8 = 42
-4x = 42 -8
-4x = 34
x = -8,5
The vertical angles are congruent (or equal) so,
32 = 2x
2x = 32
2x/2 = 32/2 ..... dividing both sides by 2
x = 16 which is the answer
The initial value is how much he starts out with, and it says he has $32
So the initial value is B, $32