Discussion of Question with ID = 068 under Logarithms

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Question

Which of these is correct?

A

$\text"log"_4(1)$ = 0.

B

$\text"log"_8(8)$ = 8.

C

$\text"log"_6(6)$ = 36.

D

$\text"log"(4 + 8 + 6)$ = $\text"log"(192)$.

Soln.
Ans: a

Speaking factually, $\text"log"_m(1)$ = 0 because m0 = 1 always, 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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