The table shows the total cost to use Mark's Moving Company. Hours
Total
Cost
1
$190
$280
2.
3
$370
4
$460
Using S(x) to represent the total cost, and x to represent the number of hours, which function models this situation?
O A f(x) = 190x +90
O B. f(x) = 100x + 90
OC. S(x) = 90x + 190
OD. f(x) = 90x + 100

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