Souveniers are sold at a rock concert. 3 hats, 2 tshirts and 1 jacket cost $140. 2 hats, 2 tshirts and 2 jackets cost $170. 1 hat, 3 tshirts and 2 jackets cost $180. How much does each item cost?

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

ok thats very interesting

answer: (x+2) (x+3) are the binomials for your question : )

83-45=38

38 was the other number

hope your goes well, here's a turkey

-thekoolkid1o1