Question 294870
log5(-2x)
--------------- = 2
log5(x+1)
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{{{log(5,(-2x)) = 2log(5,(x+1))}}}
{{{log(5,(-2x)) = log(5,(x+1)^2)}}}
{{{-2x = (x+1)^2}}}
{{{x^2 + 4x + 1 = 0}}}
x = -2 +/- sqrt(3)
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The -2-sqrt(3) won't work as it will give the log of a negative number.