When is a logarithm undefined? log4 (-32)

The video tutorial discusses a mathematical problem involving base four and the impossibility of obtaining a negative result from raising a positive number to any power. The teacher clarifies which problem is being solved and explains why a positive base cannot yield a negative result, concluding that the problem is undefined.

How would you approach solving the problem of finding a power of 4 that equals -32?

What steps would you take to determine if a base can be raised to a power to yield a negative result?