1. ## Simple Algebra Question

Hi Everyone,

I was hoping for some help on the following problem

44000 * (1.03)^x = 50000 * (1.02)^x

What does X equal?

Chris

2. ## Re: Simple Algebra Question

Originally Posted by dubs1013
Hi Everyone,

I was hoping for some help on the following problem

44000 * (1.03)^x = 50000 * (1.02)^x

What does X equal?

Chris
You can simplify the equation to

$\displaystyle \left( \frac{1.03}{1.02} \right)^x=\frac{25}{22}$

You can use a logarithm to finish solving from here.

3. ## Re: Simple Algebra Question

If you could walk me through the logarihm that would be great. Thank you very much

4. ## Re: Simple Algebra Question

$\displaystyle a^x = b$

$\displaystyle \log(a^x) = \log(b)$

$\displaystyle x \log(a) = \log(b)$

$\displaystyle x = \frac{\log(b)}{\log(a)}$