Trouble Solving: The Limit of x→∞ ln(√x + 5)/ln(x)

[redsox5]

The problem is

The limit as x approaches pos infinity ln(square root of x + 5) divided by ln(x)

In the numerator only x is under the square root. I'm having trouble getting to this answer. If someone can take a look I would really appreciate it.

I have the answer because it can be done on a calculator. Just I'm not sure how to get there.

 

[ZioX]

Well what is lim x-> infty ln(sqrt(x)+5) and lim x-> ln(x)?

 

[ytoruno]

try evaluating the limit as my friend above me pointed out, you will get an indeterminate form. Fortunately l'hospital's rule can be used to deal with such limits.