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n^lnx = x simple question

tmt

Active member
Jan 15, 2014
236
Hi,

I learned today that n^lx = x

Is this where n is a variable a a fixed constant?

Thanks ,

Tim
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
The actual identity is:

\(\displaystyle a^{\log_a(x)}=x\)

For suitable values of $a$, usually taken to be a positive fixed value not equal to 1.
 

mente oscura

Well-known member
Nov 29, 2013
172
Hi,

I learned today that n^lx = x

Is this where n is a variable a a fixed constant?

Thanks ,

Tim
Hello.

But, yes, it is constant:

[tex]\log_e(x) \ \log_e(n)=\log_e(x) \rightarrow{}n=e[/tex]

It is correct, isn't it?

Regards.