If $${\log _{10}}2 = a$$ and $${\log _{10}}3 = b,$$ then $${\log _5}12$$ = ? Options: A . &nbsp$$\frac{{a + b}}{{1 + a}}$$ B . &nbsp$$\frac{{2a + b}}{{1 + a}}$$ C . &nbsp$$\frac{{a + 2b}}{{1 + a}}$$ D . &nbsp$$\frac{{2a + b}}{{1 - a}}$$

If $${\log _{10}}2 = a$$ and $${\log _{10}}3 = b,$$ then $${\log

Question

If $${\log _{10}}2 = a$$ and $${\log _{10}}3 = b,$$ then $${\log _5}12$$ = ?

Options:

A . $$\frac{{a + b}}{{1 + a}}$$

B . $$\frac{{2a + b}}{{1 + a}}$$

C . $$\frac{{a + 2b}}{{1 + a}}$$

D . $$\frac{{2a + b}}{{1 - a}}$$

Answer: Option D

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