Answer:
r = -8/5
Step-by-step explanation:
-7 log4 (-10r) = -14
Divide each side by -7
-7/-7 log4 (-10r) = -14/-7
log4 (-10r) = 2
Raise each side to the base of 4
4^ log4 (-10r) = 4^2
-10r = 16
Divide each side by -10
-10r/-10 = 16/-10
r = -116/10
r = -8/5