Which of these expressions is equivalent to log (3 8)? A. log (3) – log (8) B. log (3) + log (8) C. log (3) log (8) D. 3 log (8)

Question

asked Jul 17, 2019 224k views

2 Answers

Brando · Answer 1 · 2019-07-21T05:24:06+0000

Answer: The correct option is (A)
$\log(3)-\log(8).$

Step-by-step explanation: We are to select the correct expression that is equivalent to the following logarithmic expression:

$E=\log\left((3)/(8)\right).$

We have the following property of logarithm:

$\log\left((a)/(b)\right)=\log a-\log b.$

Therefore, we have

$E\\\\\\=\log\left((3)/(8)\right)\\\\\\=\log (3)-\log (8).$

Thus, the given expression is equivalent to
$\log(3)-\log(8).$

Option (A) is correct.