Question

What is the value of log 27^9?

Answer 1

2/3

Explanation:

hope this helps :)

Answer 2

Answer: The answer is
`(2)/(3).`

Step-by-step explanation: We are given to find the value of
`\log_(27)9.`

Here, we will be using the following properties of logarithm.

`(i)~\log a^b=b\log a,\\\\(ii)~\log_ba=(\log a)/(\log b).`

So, we will be solving the given problem using these two as follows.

`\log_(27)9=(\log9)/(\log27)=(\log 3^2)/(\log 3^3)=(2\log 3)/(3\log 3)=(2)/(3).`

Thus, the required value is
`(2)/(3).`