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)
