Question

If a=c^z;b=a^x;c=b^y, prove x*y*z=1​

Answer 1

Answer:

Step-by-step explanation:

a=c^z

log a= z log c

z=log a/ logc..................(1)

****************************

b=a^x

log b=xlog a

x=log b/ log a......................(2)

****************************

c=b^y

log c=y log b

y = log c/log b...............................(3)

On multiplying(1),(2) and (3) we get

x*y*z= ( log a/ logc)*( log b/ log a)*(log c/ logb)

=1