# Hardest Math Problem EVAR

1. Jul 29, 2009

### EternityMech

Hardest Math Problem EVAR!!!

1. The problem statement, all variables and given/known data

300 * 1,05x = 160 * 1.07x

2. Relevant equations

what is x?

3. The attempt at a solution

140 = 1,05x / 1.07x

i can solve this using a graphic calculator but i want to do it mathematically.

2. Jul 29, 2009

### Dick

Re: Hardest Math Problem EVAR!!!

Your combined form should be 300/140=1.07^x/1.05^x. Take the log (any base) of both sides. Do you see how the laws of logarithms log(a*b)=log(a)+lob(b) and log(a^x)=x*log(a) can make this the easiest linear equation EVAR!

Last edited: Jul 29, 2009
3. Jul 29, 2009

### EternityMech

Re: Hardest Math Problem EVAR!!!

is it 300/140 or 300/160?

thanks for the help.

4. Jul 29, 2009

### Dick

Re: Hardest Math Problem EVAR!!!

300/160, of course. Sorry about the slip.

5. Jul 29, 2009

### Cyosis

Re: Hardest Math Problem EVAR!!!

Edit: I mistook your post for being the solution to the problem

6. Jul 29, 2009

### EternityMech

Re: Hardest Math Problem EVAR!!!

(1.05/1.07)x = 160 / 300

got it muchos gracias.