Prove that log_a(1/x)=−log_a(x).

Nola Aguilar

Nola Aguilar

Answered question

2022-11-20

Prove that log a ( 1 / x ) = log a ( x )
But it has two problems: when x=0 and on the other problem it doesn't mention any condition. How should I solve it in each of them?

Answer & Explanation

Stella Andrade

Stella Andrade

Beginner2022-11-21Added 19 answers

Exclusively by definition:
y = log a 1 x a y = 1 x = x 1 a y = x y = log a x
limunom623

limunom623

Beginner2022-11-22Added 3 answers

0 = log a ( 1 ) = log a ( x 1 x ) = log a x + log a ( 1 x )

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