Question

Write the expression as a single natural logarithm. 3 In b-4 In x?

Answer 1

Option 1: $ln\ \frac{b^3}{x^4}$ is the right answer

Step-by-step explanation:

Given statement is:

$3\ ln\ b - 4\ ln\ x$

First of all we will see about the numbers that are written with the log

The exponent property of log states that

$ln\ (x^y) = y\ ln\ x$

Using the property

$= ln\ b^3 - ln\ x^4$

The division property of log states that:

$ln\ (\frac{x}{y}) = ln\ x - \-ln\ y$

Using this property

$=ln\ \frac{b^3}{x^4}$

Hence,

Option 1: $ln\ \frac{b^3}{x^4}$ is the right answer

Keywords: Natural log, properties of log

Learn more about natural log at:

• brainly.com/question/8196933
• brainly.com/question/8136925

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