Question

Help me please.........

Answer 1

Answer:

1 (a) log a x = 1/2(8 - log a y)

(b) log a y = 8 - log a x^2

2 (a) log a x = log a y^2 - 6

(b) log a y = 1/2(6 + log a x)

Step-by-step explanation:

(1) log a x^2y = 8

log a x^2 + log a y = 8

log a x^2 = 8 - log a y

2log a x = 8 - log a y

Divide both sides by 2

log a x = 1/2(8 - log a y)

log a x^2 + log a y = 8

log a y = 8 - log a x^2

(2) log a y^2/x = 6

log a y^2 - log a x = 6

log a y^2 - 6 = log a x

log a y^2 = 6 + log a x

2log a y = 6 + log a x

Divide both sides by 2

log a y = 1/2(6 + log a x)