Question 373930
<pre>
{{{9^x=27}}}

Write 9 as (3²) and write 27 as 3³

{{{(3^2)^x=3^3}}}

Remove the parentheses on the left by multiplying
the exponent within the parentheses by the exponent
just above the right parenthesis:

{{{3^(2x)=3^3}}}

When the bases are the same positive number and not
equal to 1, we may equate the exponents:

{{{2x=3}}}

{{{x=3/2}}}

Edwin</pre>