Can someone give me the process to differentiate this (with respect to x)? ln(a^x)

Christopher Saunders

Christopher Saunders

Answered question

2022-10-17

How to differentiate ln ( a x )?
Can someone give me the process to differentiate this (with respect to x)?
ln ( a x )

Answer & Explanation

Marlene Welch

Marlene Welch

Beginner2022-10-18Added 23 answers

Since
ln ( a x ) = x ln a ,
you can see that this function is in fact linear in x. (Note that ln a is just some constant.) The derivative is therefore 1 ln a = ln a .
fluerkg

fluerkg

Beginner2022-10-19Added 3 answers

Hint:
Use the fact that
a x = e x ln a .

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