Bao has been notified by his electric company that his rates are going up on his graduated fee schedule. he currently pays: standard use plan 6.5 cents/kwh for the first 600 kwh 12 cents/kwh for the next 600 kwh if his rates go up 1 cent in each category, find how much he will pay if he uses 875 kwh per month. round to the nearest dollar. a. $72 b. $105 c. $66 d. $81

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