Hi, I'm having a lot of difficulty with this problem because I'm terrible with logs.

Consider two countries, Chairland and Couchia. In year 0, Chairland starts out with a per-capita

income of $100, and this grows at a rate of 2% per year. Couchia starts out with a per-capita income

of $1000, and this grows at a rate of 1% per year.

In how many years will Chairland’s per-capita income catch up with Couchia’s per-capita income?

(decimals are OK).

So my setup was:

x = years

100 * 1.02^x = 1000 * 1.01^x

= 1.02^x = 10 * 1.01^x

I have no idea where to go from here. Could anyone show me what I should do next?