If log( a + b ) = log a + log b , then find the correct relation
a ) a = b
b ) b = 1/a
c ) b = `(a -1 )/a`
d ) b = `a/( a -1 )`

If log ((a + b)/(2)) = (1)/(2) (log a + log b) , then a is equal to

If log_(e)((a+b)/(2))=(1)/(2)(log_(e)a+log_(e)b), then find the relation between a and b.

if (log a)/(b-c)=(log b)/(c-a)=(log c)/(a-b) then find the value of a^(a)b^(b)c^(c)

If log((a+b)/(3))=(1)/(2)(log a+log b) then the value of (a)/(b)+(b)/(a)

if log((a+b)/(2))=(1)/(2)(log a+log b), prove that a=b

(v) quad if (log a)/(b-c)=(log b)/(c-a)=(log c)/(a-b) then find the value of a^(a)b^(b)c^(c)

If log 25 = a " and " log 225 = b , then find the value of log ((1/9)^(2)) + log (1/(2250)) in terms of a and b (base of the log is 10 everywhere).