Answer:
Step-by-step explanation:
[tex]2^{4-6x}=8^{1-x}\\\\2^{4-6x}=(2^{3})^{1-x}\\\\2^{4-6x}=2^{3*(1-x}}\\\\2^{4-6x}=2^{3-3x}[/tex]
Bases are equal, so compare the powers,
4 - 6x = 3 - 3x
Subtract 3 from both sides,
4 - 3 - 6x = -3x
1 - 6x = -3x
Add 6x to both sides
1 = -3x+ 6x
1 = 3x
Divide both sides by 3
1/3 = x
x = 1/3
