so working on a few exponential functions. i know that you can make the exponents equal to one another if the bases are the same but what if there is a single variable and the terms are multiplied/added.

what i have so far:

$\displaystyle 3^{2x}-2*3^{x+5}+3^{10} = 0$

$\displaystyle (3^{2x})(3^{x+5})+3^{10} = 2$

is it correct to move over the 2 to work with the same bases easier?

or is this completely off and i should use logarithm and natural log? if so, please give hints as to how to work it out.

thankyou~