Question

10. If log10x = 1 + a and log10y = 1 – a, show that xy = 100.
How?

Answer 1

Explanation:

log x = 1 + a

a = log x - 1

log y = 1 - a

a = 1 - log y

So

log x - 1 = 1 - log y

log x + log y = 2

log (xy) = 2

xy = 100