Verified answer

log(3) 8 + 3log(3) 9/2 = log(3) 8 + log(3) (9/2)³ = log(3) 8*(3²)³/8 = log(3) 3⁶ = 6

log(7) 196 - 2 log(7) 2 = log(7) 196 - log(7) 4 = log(7) 196/4 = log(7) 49 = 2

log(2) √3 + 1/2 log(2) 4/3 = log(2) √3 + log(2) √(4/3) = log(2) 2√3/√3 = log(2) 2 = 1