Finding the inverse of a natural log How would I find the inverse of ln &#x2061;<!-- ⁡ -->

Jeramiah Campos

Jeramiah Campos

Answered question

2022-06-24

Finding the inverse of a natural log
How would I find the inverse of
ln ( 8 x 64 ) ?
I've tried put 8 x 64 as the power to the base of e, I don't know what to do from there on, thanks in advance

Answer & Explanation

klemmepk

klemmepk

Beginner2022-06-25Added 16 answers

Set, y = log ( 8 x 64 ) and solve for x.
So ,
e y = e log ( 8 x 64 )
e y = 8 x 64
You should be able to go from here.
Celia Lucas

Celia Lucas

Beginner2022-06-26Added 5 answers

Assuming you want to find the inverse of the function
f ( x ) = ln ( 8 x 64 )
You want a function g ( y ) such that g ( f ( x ) ) = x, so
g ( ln ( 8 x 64 ) ) = x
This means y = ln ( 8 x 64 ), so
e y = 8 x 64
e y + 64 8 = g ( y )

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