A 2-column table with 9 rows. The first column is labeled x with entries negative 8, negative 6, negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries negative 16, negative 8, 0, 8, 16, 32, 64, 128. Which could be the entire interval over which the function, f(x), is negative? (–8, –2) (–8, 0) (–∞, –6) (–∞, –4)

666666666666666666666

6

6

6

6

6

6

6

66

6

6

6

66

6

66answer:

step-by-step explanation:

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