How does ln(1/2) become −ln2?

Brianna Schmidt

Brianna Schmidt

Answered question

2022-10-31

How does ln 1 2 become ln 2?
I just saw a video that said you can transfer the two from the denominator to the numerator, but how does that make the 2 negative? Wouldn't that just make the exponent negative?
For example 1 2 = 2 1
or am I missing something?

Answer & Explanation

Jaylin Wheeler

Jaylin Wheeler

Beginner2022-11-01Added 11 answers

ln 1 2 = ln 1 ln 2 = 0 ln 2 = ln 2
Gisselle Hodges

Gisselle Hodges

Beginner2022-11-02Added 5 answers

Observe that ln ( 1 2 ) = ln ( 2 1 ) = ln ( 2 ). Since 2 1 = 1 2 and using the log rules for powers.

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