Question 938956
Convert {{{ 2 }}} to a log
{{{ 2 = log(100) }}}
{{{ log(4x) - log(( 12+ sqrt(x))) = log(100) }}}
{{{ log(( 4x / ( 12 + sqrt(x) ))) = log(100) }}}
{{{ 4x / ( 12 + sqrt(x) ) = 100 }}}
{{{ 4x = 100*( 12 + sqrt(x)) }}}
{{{ 4x = 1200 + 100*sqrt(x) }}}
{{{ x = 300 + 25*sqrt(x) }}}
{{{ 25*sqrt(x) = x - 300 }}}
square both sides
{{{ 625x = x^2 - 600x + 90000 }}}
{{{ x^2 - 1225x + 90000 = 0 }}}
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Use the quadratic formula to solve
{{{ x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{ a = 1 }}}
{{{ b = -1225 }}}
{{{ c = 90000 }}}
You can finish