Log√35 - log √7 + log√2

log 10 = 1

Now apply log rules:

log a + log b = log ( a ∙ b )

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

log ⁿ√a = log a / n

log √a = log a / 2

log√35 - log √7 + log√2 = log √35 ∙ 2 / 7 =

log √70 / 7 = log √10 = log 10 / 2 = 1 / 2