Question

if log (a+b) = log a + log b then the value of 'a' in term of b is​

Answer 1

$log(a+b)=log a + log b$

$\implies log(a+b)=log ab$ {since according to logarithm log m + log n = logmn }

log gets cancelled  on both sides.Now,

$\implies a+b=ab$

$\implies b=ab-a$

$\implies b=a(b-1)$

$\implies \frac{b}{a}=b-1$

$\implies \frac{b}{a}+1=b$

$\implies b+a=ab$

so in terms of b the answer is,

$\implies b=ab-a$