Question 804825
Use the fact that {{{ log( 10 ) = 1 }}}
{{{ log( x+6 ) - log( 10 ) = log ( x - 3 ) }}}
{{{ log( x+6 ) - log( x-3 )  = log( 10 ) }}}
{{{ log( ( x+6 )/( x-3 ) )  = log( 10 ) }}}
{{{ ( x+6 )/( x-3 ) = 10 }}}
{{{ x + 6 = 10*( x-3 ) }}}
{{{ x + 6 = 10x - 30 }}}
{{{ 9x = 36 }}}
{{{ x = 4 }}}
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check:
{{{ log( x+6 ) - log( 10 ) = log ( x - 3 ) }}}
{{{ log( 4+6 ) - log( 10 ) = log ( 4 - 3 ) }}}
{{{ log( 10 ) - log( 10 ) = log( 1 ) }}}
{{{ 1 - 1 = 0 }}}
{{{ 0 = 0 }}}
OK