Question 1043592
{{{log(2,(log(3,(log(4,(x)))^"")))}}}{{{""=""}}}{{{0}}}
<pre><b>
We use the definition of logs, which is the rule for changing
logarithmic equations to or from exponential equations:

Definition of logs:  If {{{log(B,(A) )}}}{{{""=""}}}{{{C}}}, then {{{A}}}{{{""=""}}}{{{B^C}}}


{{{log(2,(log(3,(log(4,(x)))^"")))}}}{{{""=""}}}{{{0}}}

Using the definition of logs:

{{{log(3,(log(4,(x))))}}}{{{""=""}}}{{{2^0}}}

{{{log(3,(log(4,(x))))}}}{{{""=""}}}{{{1}}}

Using the definition of logs again:

{{{log(4,(x))}}}{{{""=""}}}{{{3^1}}}

{{{log(4,(x))}}}{{{""=""}}}{{{3}}}
Using the definition of logs once more:

{{{x}}}{{{""=""}}}{{{4^3}}}

{{{x}}}{{{""=""}}}{{{64}}}

Edwin</pre></b>