Solve for all real values of x is 9^x+2=240+9^x

Question

THIS ONE IS HARD

Answer 1

It won't seem hard after you've done a few dozen of them...

I assume you meant
9^(x+2)=240+9^x
That is the same as

9^2*9^x = 240 + 9^x
9^x(81-1) = 240
80*9^x = 240
9^x = 3
x = 1/2