Question 443211
Let {{{m = ln(v)}}}
Then {{{v = e^m}}}
Raise both sides to the n power.
{{{v^n}}} = {{{(e^m)^n}}}
ln both sides:
{{{ln(v^n) = mn}}}
Remember that {{{m = ln(v)}}}
Then {{{ln(v^n) = ln(v) * n}}}
{{{ln(v^n) = n*ln(v)}}}
Q.E.D.  :)
--------------------
Let {{{m = log(v)}}}
Then v = {{{10^m}}}
Raise both sides to the n power
{{{v^n = (10^m)^n}}}
log both sides
{{{log(v^n) = mn}}}
Substitute for m back
{{{log(v^n) = log(v)*n}}}
{{{log(v^n) = n*log(v)}}}
--------------------
Hope this helped!