Question 712366
You have to know what the base is,
and when it's not stated, you can
usually assume it is {{{ 10 }}}
The trick here is to use
{{{ log( 10 ) = 1 }}}
{{{ log( w+8 ) - log( w-5 ) = log( 10 ) }}}
{{{ log( ( w+8 )/( w-5 ) ) = log( 10 ) }}}
Now you can say
{{{ ( w+8 ) / ( w-5 ) = 10 }}}
{{{ w + 8 = 10*( w - 5 ) }}}
{{{ w + 8 = 10w - 50 }}}
{{{ 9w = 58 }}}
{{{ w = 6.4444 }}}
check:
{{{ log( 6.4444+8 ) - log( 6.4444-5 ) = 1 }}}
{{{ log( 14.4444 ) - log( 1.4444 ) = 1 }}}
{{{ 1.1596995 - .159687 = 1.0000125 }}}
I think the error is due
to rounding off