Question

If x
log: y = z
log2 2 & 72* = ymz", then value of (3m + 2n) is equal to:​

Answer 1

Answer:

, z are positive then minimum value of

x

logy−logz

+y

logz−logx

+z

logx−logy

is

Share

ANSWER

Let a=x

logy−logz

,b=y

logz−logx

,c=z

logx−logy

Now, log(abc)=loga+logb+logc

⇒log(abc)=(logy−logz)logx+(logz−logx)logy+(logx−logy)logz=0

⇒abc=1

As a,b,c are positive AM≥GM

∴

3

a+b+c

≥(abc)

3

1

=1