I can't find the log of a negative number

[AllenHe]

Homework Statement

there is an equation:

2^x=-6

Homework Equations

The Attempt at a Solution

I know that log need to be used to find x. but I can't find the log of a negative number,,

 

[eumyang]

Homework Statement

there is an equation:

2^x=-6

Homework Equations

The Attempt at a Solution

I know that log need to be used to find x. but I can't find the log of a negative number,,

And you cannot raise a positive number base to any real number exponent to get a negative power. So the answer is "no solution," unless the problem is a typo. Or, was this a part of a larger problem?