if a^x = c^q = b and c^y = a^z = d, then
1. xy = qz
2. x/y = q/z
3. x+y = q+z
4. x-y = q-z
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a^x = c^q =b
and , c^y = a^z =d
a^x = c^q = b
take log both sides ,
x.loga =qlogc = logb
x = qlogc/loga = logb/loga
c^y = a^z = d
take log both sides,
y logc =z loga = logd
y =zloga/logc =logd/logc
now,
xy = {qlogc/loga}{zloga/logc}
=qz
hence, option (1) is correct ,
and , c^y = a^z =d
a^x = c^q = b
take log both sides ,
x.loga =qlogc = logb
x = qlogc/loga = logb/loga
c^y = a^z = d
take log both sides,
y logc =z loga = logd
y =zloga/logc =logd/logc
now,
xy = {qlogc/loga}{zloga/logc}
=qz
hence, option (1) is correct ,
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