2^4x-1=7, what is x?
2^4x-1=7 add 1 to both sides
2^4x = 8 and we can write 8 as 2^3 ....so we have...
2^4x = 2^3 and, because the bases are the same, we can equate exponents
4x = 3 divide by 4 on both sides
x = 3/4