Question

Which of the following statements are correct?

• A. $lo{g}_{3}3=1$
• B. $lo{g}_{10000}1=0$
• C. $log\left(2\right)\times log\left(4\right)=log(4\times 2)$
• D. $log1+log2+log3=log(1+2+3)$

Answer 1

Answer: (A), (B), (D)

The correct options are
A

$lo{g}_{3}3=1$

B

$lo{g}_{10000}1=0$

D

$log1+log2+log3=log(1+2+3)$

(a) Since $lo{g}_{b}b=1$, so $lo{g}_{3}3=1$

(b) Since $lo{g}_{b}1=0$, so $lo{g}_{10000}1=0$

(d) $log(1+2+3)$
= log 6 = log $1\times 2\times 3$
= log 1 + log 2 + log 3

So, option (c) is incorrect. $loga\times logb\ne log(a\times b)$