Question

What does x equal? Please help

Answer 1

x=-9

Explanation:

`9^(2x-3)=27^(2x+4)\\(3^2)^(2x-3)=(3^3)^(2x+4)\\3^(2(2x-3))=3^(3(2x+4))\\3^(4x-6)=3^(6x+12)`

As the bases(3) are same,

we can conclude that the powers are equal.

Hence,

`4x-6=6x+12\\-6-12=6x-4x\\-18=2x\\x=-18/2\\x=-9`