Question

Log 1/2 - log 5/6 + log 3/4 - log 7/8

Answer 1

Answer:

log(18/35)

Step-by-step explanation:

log(a)-log(b) = log(a/b)

log(1/2) - log(5/6) = log (1/2 / 5/6 )

= log ( 3/5) (1/2* 5/6 = 3/5)

log(3/4) -log (7/8) = log ( 3/4 / 7/8 )

= log ( 6/7)

now log(a) + log (b) = log (ab)

log (3/5) + log ( 6/7 ) = log ( 3/5 * 6/7 )

= log ( 18/35 )

log (18/35) is the answer