Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
In one sentence, explain why the derivative of
log
a
x
\log_a x
lo
g
a
x
\;(with
a
>
0
,
a
≠
1
a>0,\,a\neq1
a
>
0
,
a
=
1
) is
1
x
ln
a
\dfrac{1}{x\ln a}
x
ln
a
1
and not
1
x
a
\dfrac{1}{x\,a}
x
a
1
.
Browse the problem library