67. The Millers make a 70-mile trip to visit their grandparents. Pat Miller believes in driving at a steady rate of 50 miles per hour. (a) How much time will it take Pat to make the trip?
(b) How many miles will the Millers travel in 18 minutes?
(c) Write an expression for the number of miles they will cover in t minutes of driving.
(d) After t minutes of driving, how many miles remain to be covered?

step-by-step explanation:

the answers c

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