Ebony is saving for the new PlayStation game console that has a cost of $546.40 after tax. Currently she has $216.40 saved, and she plans to earn $55 each week babysitting.
Which inequality can be used to determine the minimum number of weeks she must babysit in order to
pay for the game console?
a
b
55x + 216.40 2 546.40
55x + 216.40 5 546.40
216.40x + 55 2 546.40
С
d
216.40x + 55 s 546.40

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752