Question 370322
{{{log((x^2-2x-31))/log((2))=2}}}
{{{log((x^2-2x-31))=2*log((2))}}}
{{{log((x^2-2x-31))=log((2^2))}}}
{{{x^2-2x-31=4}}}
{{{x^2-2x-35=0}}}
{{{(x-7)(x+2)=0}}}
Two solutions:
{{{x-7-0}}}
{{{x=7}}}
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{{{x+2=0}}}
{{{x=-2}}}
However the negative value leads to a negative argument for the log function which is undefined.
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{{{highlight(x=7)}}}