Usually I'm pretty good in math, and I get the concept of logs but i can't figure out how to solve problems like this:

$\displaystyle 10^{1-x} = 6^x$

It looks pretty simple, and here is how I start it out:

$\displaystyle 1-x = log(6^x$

$\displaystyle 1-x = x log6$

Then I can't figure out how to isolate the x after that. I'm sure it is just something really simple that I'm missing, but I just can't figure it out.