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### Question

Which of these is correct?

**A**

$\text"log"_6(2)$ = $1/{\text"log"_2(6)}$.

**B**

$\text"log"_2(2)$ = 2.

**C**

$\text"log"_4(4)$ = 16.

**D**

$\text"log"(6 + 2 + 4)$ = $\text"log"(48)$.

**Soln.**

**Ans: a**

Speaking factually, $\text"log"_m(n)$ = $1/{\text"log"_n(m)}$, hence the answer. Expressions of the form $\text"log"_m(n) = p$ are same as m^{p} = n. We can see that none of the options makes it correct. Also, log(m + n + p) = log(m × n × p) is possible only if m × n × p = m + n + p.