If ` a^(x) = b^(y) = c^(z) = d^(w)," show that " log_(a) (bcd) = x (1/y+1/z+1/w)`.

If ` a^(x) = b^(y) = c^(z) = d^(w)," show that " log_(a) (bcd) = x (1/

1.	If ` a^(x) = b^(y) = c^(z) = d^(w)," show that " log_(a) (bcd) = x (1/y+1/z+1/w)`.
Answer» `log_(a)(bcd)=log_(a) b+log_(a) c+ log_(a) d` Now` a^(x) = b^(y)` ` or (log b)/(log a) = x/y` ` or log_(a)b = x/y` Similarly, ` log_(a) c= x/z and log_(a) d = x/w` ` rArr log_(a) (bcd) = log_(a) b+ log_(a) c+ log_(a) d` `= x(1/y+1/z+1/w)`