Re-write 25 = 52, and re-write 125 = 53
The above two revisions result in this equation:
[52]3x+6 = [53]12 - 2x
and using Rules for exponents?
52(3x+6) = 53(12 - 2x)
If the powers are equal, and the bases (here, 2) are equal then the exponents must also be equal:
2(3x + 6) = 3(12 - 2x)
6x + 12 = 36 - 6x
12x = 24
| x = 2 |