Question

The question is in the attached.

Answer 1

Option 1: $log_3\ (8y)$ is the correct answer

Step-by-step explanation:

Given question is:

$\frac{log\ 8y}{log\ 3}$

As the log used is natural log, the base is 10.

So,

The log rule used will be:

$\frac{log_c\ (b)}{log_c\ (a)} = log_a\ (b)$

The given fraction can be written as:

$\frac{log_{10}\ 8y}{log_{10}\ 3}$

Using the rule mentioned above we can see that

a = 3 and b = 8y

So,

The single logarithmic function is: $log_3\ (8y)$

Hence,

Option 1: $log_3\ (8y)$ is the correct answer

Keywords: Logarithm, functions

Learn more about logarithm at:

• brainly.com/question/11286417
• brainly.com/question/12884373

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