Evaluate log(-13) correct answer will get brainliest

if given log(a)=b, where no base is stated, we assume base 10, or

also, translates to/can be written equivilently as

therefore, given

where we want to find ?

assume base 10 and translate

since we cannot raise a positive number to any real power and give a negative number, ? is not a real number and therefore, there are no real solutions

if we do want to find a solution, we can use Euler's idendity

where i is the complex number i=√-1 and e is euler's number

we can try to change bases to find the value of ?

so

taking ln of both sides

using log rules

divie both side by ln(10)

in a+bi form

there are no real numbers that it evaluates to

however, it does evaluate to a complex number which is or aproximately 1.11394+1.36438i

2nd one in the first row is correct