Question 196625
subtracting logs means dividing their arguments


log subscript 8 [(square root 80)/(square root 5)]


log subscript 8 [square root (80/5)]


log subscript 8 [square root (16)]


log subscript 8 (4)


4 is 2^2 and 8 is 2^3 ___ so 4 = 8^(2/3)


log subscript 8 (4) = 2/3