Question 1205553
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<pre>

As the equation is presented in the link, it is

    {{{2^(4x)}}} = {{{1/32}}}.


It can be written in an equivalent form

    {{{2^(4x)}}} = {{{2^(-5)}}}.


The exponential bases are equal;  hence, the exponential indexes are the same

    4x = -5.


It implies x = {{{-5/4}}}.


<U>ANSWER</U>.  The solution is  x = {{{-5/4}}}.
</pre>

Solved.



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-->>>-->>> &nbsp;&nbsp;There is &nbsp;NO &nbsp;ANY &nbsp;NEED &nbsp;to make the solution longer than this.  &nbsp;&nbsp;<<<--<<<--



The mathematical and educational truth is: &nbsp;&nbsp;the longer a solution is, &nbsp;the weaker it is.