Question

Question #bdba5

Answer 1

`ln (5x^5(x^2+5)^2)`

Explanation:

There are two properties of logarithms that will help us out here:
1) `ln a^b=b*lna`
2) `ln a*b=lna+lnb`

So, first we use property #1 to take the constants out from the front of the logs, making our equation look like this:

`ln5+ln x^5+ln(x^2+5)^2`

Now, we use property #2 to join all the terms under one log, resulting in this:

`ln (5x^5(x^2+5)^2)`