At a community​ college, a survey was taken to determine where students study on campus. Of the 250 students​ surveyed, it was determined that 165 studied in the library. 134 studied in the cafeteria. 75 studied in both the library and the cafeteria. Complete parts ​a) through ​c). ​a) Of those students​ surveyed, how many studied only in the​ library?

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

hello, it is c -4

hope i you have a good day