Question

If 2 log y - log x - 3 = 0, express x in terms of y.

Answer 1

2log - logx - 3 = 0
⇒ logx = 2logy - 3
⇒ logx = logy² - 3log10   ...[∵ log10 = 1]
⇒ logx = logy² - log10³
⇒ logx = `"log"(y^2/1000)`
∴ x = `y^2/(1000)`.