If a = bx, b = cy, c = a, then xyz is :ufc a = bx, b = cy, c = az, at

1.	If a = bx, b = cy, c = a, then xyz is :ufc a = bx, b = cy, c = az, at xyz -
Answer» a^x=b. —(1) b^y=c From (1) , (a^x)^y=c a^xy = c. —(2) c^z=a From (2) , (a^xy)^z= a a^xyz = a Now , we have three cases If a=1 then the value of xyz can be any whole number . If a= 0 , then the value of xyz can be any natural number . If a≠1 and a≠0 ,then the value of xyz is 1

If a = bx, b = cy, c = a, then xyz is :ufc a = bx, b = cy, c = az, at xyz -

Answer»

a^x=b. —(1)

b^y=c

From (1) ,

(a^x)^y=c

a^xy = c. —(2)

c^z=a

From (2) ,

(a^xy)^z= a

a^xyz = a

Now , we have three cases

If a=1 then the value of xyz can be any whole number .

If a= 0 , then the value of xyz can be any natural number .

If a≠1 and a≠0 ,then the value of xyz is 1