Express ln 32 - ln 8 as a single natural logarithm.

Question

asked Jun 10, 2018 80.6k views

2 Answers

Royce Feng · Answer 1 · 2018-06-14T05:00:39+0000

Answer: The correct expression is
$\ln 4.$

Step-by-step explanation: We are given to express the following logarithmic expression as a single natural logarithm.

$E=\ln 32-\ln 8.$

We will be using the following logarithmic property:

$\ln(a)/(b)=\ln a-\ln b.$

We have

$E\\\\=\ln 32-\ln 8\\\\=\ln (32)/(8)\\\\=\ln 4.$

Thus, the required single natural logarithm is
$\ln 4.$