Question

log10(xy)=2 and log10(x/y)+2log10^2=2
find x and y

Answer 1

Step-by-step explanation:

log

10

x+log

10

y≥2

⇒log

10

xy≥2,[∵loga+logb=log(ab)]

⇒xy≥10

2

=100 ...(1)

Here also we have, x>0 & y>0 since x&y are under log

And we know, A.M.≥G.M

∴

2

x+y

≥

xy

⇒

2

x+y

≥

100

=10 ....{ From 1}

⇒x+y≥20

Answer 2

Step-by-step explanation:

thank you this is with explanation