Question 581434
{{{ ln ( 4x - 8) – ln ( x-1 ) = ln ( 5 ) }}}
{{{ ln(4) + ln( x-2 ) - ln( x-1 ) = ln(5) }}}
{{{  ln( x-2 ) - ln( x-1 ) = ln(5) - ln(4) }}}
{{{ ln( ( x-2 ) / ( x-1 ) ) = ln( 5/4) }}}
{{{ ( x-2 ) / ( x-1 ) = 5/4 }}}
{{{ 4*( x-2) = 5*( x-1 ) }}}
{{{ 4x - 8 = 5x - 5 }}}
{{{ x = -3 }}}
This can't be right because it gives me
{{{ ln(-20) }}} and {{{ ln(-4) }}}
It is impossible to have ln( a negative number )
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I'll try something different
{{{ ( x-2 ) / ( x-1 ) = 1 - ( 1/( x-1)) }}}
{{{ 1 - ( 1/( x-1))  = 5/4 }}}
{{{ 1/( x-1 ) = 4/4 - 5/4 }}}
{{{ 1/ ( x-1 ) = - (1/4) }}}
{{{ x = -3 }}}
Still impossible. I think either the problem can't be solved
or it was copied wrong.