Answer:
x=3
Step-by-step explanation:
2^(4x) = 8^(7-x)
The first step is to get the bases the same by writing 8 as a power of 3.
8 = 2^3
2^(4x) = 2^3^(7-x)
Using the power of powers property,
2^(4x) = 2^(3(7-x))
2^(4x) = 2^(21-3x)
Since the bases are the same, the exponents must be the same.
4x = 21-3x
Add 3x to each side.
4x+3x = 21-3x+3x
7x = 21
Divide each side by 7.
7x/7 = 21/7
x=3
