Nobody well

carrie's catering is having a special on their box lunches. the minimum purchase is 14 boxes for $126. each additional box is $7. if x represents the number of boxes over the minimum, which of the following equations represents the cost of box lunches during this special?
a. y = 7x + 126
b. y = 126x + 7
c. y = 126x - 7
d. y = 126 - 7x

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