How to get the graph for y=log_(1/a)(x) from y=log_a (x)?

Madison Costa

Madison Costa

Answered question

2022-11-04

How to get the graph for y = log 1 / a ( x ) from y = log a ( x )?
I know that it is symmetric the Ox axle, but I can't prove it.

Answer & Explanation

hocelwsmjc

hocelwsmjc

Beginner2022-11-05Added 16 answers

I think there is a property of logarithm that you need.
y = log 1 / a ( x ) = log a ( x )
piopiopioirp

piopiopioirp

Beginner2022-11-06Added 3 answers

If y = log a x then x = a y = ( 1 a ) y . Therefore log 1 a x = y
I always find it easier to write these log equations in terms of exponentials if I am not quite sure what is going on.

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