# Exact Value

1. Nov 7, 2013

### imull

1. The problem statement, all variables and given/known data
Find the exact value of the expression: 6561(1/ln(9))

2. Relevant equations
logax=(1/ln(a))(ln(x))

3. The attempt at a solution
I thought that I would start it by putting the expression into logarithmic form: log6561x=1/(ln(9)). I am not sure where to go from here though.

2. Nov 7, 2013

### D H

Staff Emeritus
Try a different base.

3. Nov 7, 2013

Such as?

4. Nov 7, 2013

### Dick

You already have an exact value. It's just what's printed there. You can express it in other ways that don't look terribly much simpler. I suspect that the log in the exponent might be intended to be a different base. Is that the exact problem? Try factoring 6561 to see why I might think so.

Last edited: Nov 7, 2013
5. Nov 8, 2013

### D H

Staff Emeritus
Exactly.

It can be expressed in a much more compact form than 6561(1/ln 9).

That's a very good suggestion.

6. Nov 8, 2013

### imull

Thank you both very much. I'll work on it.