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Question
Which of these is correct?
A
$\text"log"(1 + 2 + 3)$ = $\text"log"(1 × 2 × 3)$.
B
$\text"log"_8(8)$ = 8.
C
$\text"log"_4(4)$ = 16.
D
$\text"log"_3(1)$ = 3.
Soln.
Ans: a
Ans: a
Speaking factually, log(m + n + p) = log(m × n × p) is possible only if m × n × p = m + n + p, hence the answer, because 1 × 2 × 3 = 1 + 2 + 3. Expressions of the form $\text"log"_m(n) = p$ are same as mp = n. We can see that none of the other options makes it correct.