f4 maths(1 question)

1)
(a)
log60
= log (2 x 3 x 10)
= log 2 + log 3 + log 10
= x + y + 1 (Because log 10 = 1)

(b)
log3/4
= log 3 – log 4
= log 3 – (log 2^2)
= log 3 – 2 log 2
= y – 2x

(c)
log1.5
= log (3 / 2)
= log 3 – log 2
= y - x

(d) log√(5/27)
= (1/2) log (5/27)
= (1/2)(log 5 – log 27)
= (1/2) [log (10/2) – (log 3^3)]
= (1/2) (log 10 – log 2 – 3 log 3)
= (1/2) (1 – x – 3y)

If there is any mistake, please inform me.