Question

Solve the exponential equation. 16x = 0.5 -4 -1/4 1/4

Answer 1

x = -1/4

Explanation:

16 ^x = 1/2

Rewiting as

2^4^x = 2 ^ -1

We know that a^b^c = a^(b*c)

2 ^ (4x) = 2^ -1

The bases are the same so the exponents are the same

4x = -1

Divide by 4

4x/4 = -1/4

x = -1/4