Question 1101522
<pre>
{{{(1/3)^x}}}{{{""=""}}}{{{243}}}

243 = 3*81 = 3*9*9 = 3*3*3*3*3 = 3<sup>5</sup>

Also 1/3 = 3<sup>-1</sup>

{{{(3^(-1))^x}}}{{{""=""}}}{{{3^5}}}

Multiply exponents on the left to remove parentheses:

{{{3^(-x)}}}{{{""=""}}}{{{3^5}}}

Since the bases of the exponents on both side
are equal, the exponents are also equal, so

{{{-x}}}{{{""=""}}}{{{5}}}

{{{x}}}{{{""=""}}}{{{-5}}}

Edwin</pre>