Logarithmic Help: Solving for z, m & n

[stosw]

Homework Statement

http://img20.imageshack.us/img20/1476/mathproblemi.jpg

Homework Equations

Properties of logs.

The Attempt at a Solution

For the first two I did:

Int( $$\frac{Log(2)}{Log(1.1)}$$ )

Doing this resulted in the correct answers for the first two boxes. When I try similar techniques to solve for z, m,n I get incorrect answers.

Anyone have tips or suggestions on how to go about finding these?

 

[clamtrox]

Your task is to approximate 2 and 3 as 1.1^N and 1.1^M, and solve z from there.

 

[HallsofIvy]

If $1.1^7$ is approximately 2 then $2^x$ is approximately $(1.1^7)^x= 1.1^{7x}$. That's the point of this exercise.