Which of the expressions below is less than 2? Select all that apply. A) 1.723 + 1.003
B) 1.987 – 0.017
C) 1.486 + 0.435
D) 5.46 – 3.189
E) 5.647 – 3.885

The correct answer is

B

C

E

Step-by-step explanation:

Those all equaled something less than 2

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