Simplify a log expression I met a problem, I don't know if this term can be simplified properly? e^(( ln ax^(b))^(c)) since the ln term with power of c is hard to cope with, thanks for any help!

Abdiel Mays

Abdiel Mays

Answered question

2022-11-18

Simplify a log expression
I met a problem, I don't know if this term can be simplified properly?
e ( ln a x b ) c
since the ln term with power of c is hard to cope with, thanks for any help!

Answer & Explanation

klofnu7c2

klofnu7c2

Beginner2022-11-19Added 14 answers

It's e ln ( a x b ) ln ( a x b ) c 1 = ( a x b ) ( ln ( a x b ) ) c 1 It doesn't simplify any more than that unfortunately.
Aleah Avery

Aleah Avery

Beginner2022-11-20Added 4 answers

No, there's generally nothing productive to do here, unless you know that c is some particular nice number such that 0 or 1 ...
It may be useful to rewrite the expression in parentheses to ln a + b ln x, but whether that is actually progress depends on what you eventual goal is.

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