Answer:
x = 2
Step-by-step explanation:
given
[tex]4^{(8-2x)}[/tex] = 256
Note that 256 = [tex]4^{4}[/tex] , then
[tex]4^{(8-2x)}[/tex] = [tex]4^{4}[/tex]
Since bases on both sides are the same, equate the exponents
8 - 2x = 4 ( subtract 8 from both sides )
- 2x = - 4 ( divide both sides by 2 )
x = 2
