Discussion of Question with ID = 091 under Logarithms

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Question

Which of these is correct?

A

$\text"log"_3(3)$ = 1.

B

$\text"log"_6(6)$ = 6.

C

$\text"log"_2(2)$ = 4.

D

$\text"log"(3 + 6 + 2)$ = $\text"log"(36)$.

Soln.
Ans: a

Expressions of the form $\text"log"_m(n) = p$ are same as mp = n. We can see that if m = n, then p = 1 will make 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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