Answer:

HERE IS YOUR ANSWER DEAR

Step-by-step explanation:

The correct Answer is:

[tex]a = \frac{b}{b - 1} [/tex]

Verified answer

★ Given :-

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

★ To find :-

a in terms of b.

★ Solution :-

log(a + b) = log(a) + log(b) - (Given)

Since, we know that :-

log(a) + log(b) = log(ab)

∴ log(a + b) = log(ab)

Comparing both the sides we get,

a + b = ab

b = ab - a

b = a(b - 1)

b/(b - 1) = a

a = b/(b - 1)

∴ a in terms of b is a = b/(b - 1)

[tex]\\[/tex]

Hope it helps you :)