ln^2(x)overset(?)(=)2 ln(x) Is it the same as ln(x)^2? And if so, is it equal to 2ln(x)? Thanks in advance.

Jadon Camacho

Jadon Camacho

Answered question

2022-11-13

ln 2 ( x ) = ? 2 ln ( x )
Is it the same as ln ( x ) 2 ? And if so, is it equal to 2 ln ( x )?
Thanks in advance.

Answer & Explanation

sellk9o

sellk9o

Beginner2022-11-14Added 11 answers

ln 2 ( x ) = ln ( x ) 2 2 ln ( x )
Perhaps you are thinking of the rule ln ( x k ) = k ln ( x ). That is only true when the exponent is inside the logarithm. Also, ln ( x ) is just like any 'ol number, so multiplying it with 2 is not (in most cases) equivalent to setting it to the power of 2.
Uroskopieulm

Uroskopieulm

Beginner2022-11-15Added 4 answers

Usually, ln 2 x = ( ln x ) 2 . Note that ln ( x 2 ) = 2 ln x. So, ln 2 x 2 ln x.

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