Using the logarithm, solve the following equation for x.
6400 = (8) (2^4x)

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