Alistair has 5 half-pounds chocalate bars. it takes 1 1/2 pounds of chocalate, broken into chunks, to make a batch of cookies. how many batches can alistair mke with chocalate he has on his hand?

He can make 4 1/2 batches.

Step-by-step explanation:

1 1/2 x 2 = 3

3 + 1 1/2 = 4 1/2.

You can't add another batch without it going over what he has.

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