Question

How can I solve for x for
3^2x +5^x-1=-6

Answer 1

x = 4.6078

Answer 2

there's no easy algebraic way to solve that. A numeric method or graphical solution would be best.

Clearly, 4.6078 is wrong, since those powers of 3 and 5 are positive, so there's no way the sum can be -6

Answer 3

blurting out an answer serves no purpose, especially when it is incorrect

Answer 4

I suspect a typo

either
3^(2x)+3^x-1=-6
or
5^(2x) + 5^x-1=-6

As Steve pointed out, any power of 3^?? or 5^?? is always positive, so it can never be negative.