3. which of the following is a solution to the equation 16 = 4x - 4 [] -5 [] -4 [] 5 [] 16 4. an art student wants to make a model of the classroom. the length of the classroom is 2.4 times its width. the length of the student's model is 42 in. what should the width of the model be? [] 17.5 in [] 20.5 in [] 83.6 in [] 100.8 in

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