Confusion between negative and positive signs in natural logarithm If z = &#x2212;<!-- −

Dania Mueller

Dania Mueller

Answered question

2022-06-15

Confusion between negative and positive signs in natural logarithm
If z = 0.1887 ( x 0.7637 ) ( y 0.2306 )
Its natural logarithm will be
ln ( z ) = [ ln ( 0.1887 ) + 0.7637 ln ( x ) + 0.2306 ln ( y ) ]
or
ln ( z ) = [ ln ( 0.1887 ) 0.7637 ln ( x ) 0.2306 ln ( y ) ]?
Thank you in advance

Answer & Explanation

svirajueh

svirajueh

Beginner2022-06-16Added 29 answers

If an answer is required, maybe try
ln ( z ) = ln ( 1 ) + ln ( 0.1887 ) + 0.7637 ln ( x ) + 0.2306 ln ( y )
As others stated, this is not a real number. But maybe some complex number answer is intended?
pokoljitef2

pokoljitef2

Beginner2022-06-17Added 9 answers

The logarithm of a negative number is not defined among real numbers.
(It can have infinitely many values among complex numbers.)
But, for example x A / y B = A ln x B ln y if you want subtraction, or ( 1 / s ) A x B y C = A ln s + B ln x + C ln y   if you like.

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