Question

Solve for x:

`log_x 16 = 1/2`

Answer 1

Given: `log_x 16 = 1/2`

Step-wise calculation:

1. Convert to exponential form:

`x^(1/2) = 16`

2. Square both sides to solve for x:

x = 16²

x = 256

3. Check base conditions for a logarithm:

Base x must be positive and not 1. 

x = 256 satisfies these.