Answer:
x = 2.411
Step-by-step explanation:
6400 = (8) (2^(4x))
Divide both sides by 8 to get;
6400/8 = (2^(4x))
800 = (2^(4x))
Using logarithms, we can solve as;
Log 800 = 4xLog 2
4x = Log800/Log2
4x = 2.9031/0.3010
4x = 9.6449
x = 9.6449/4
x ≈ 2.411
