Discussion of Question with ID = 035 under Logarithms

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Which of these is correct?


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


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


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


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

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 mp = 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.

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