Question 990331
{{{ log( 4, (m+2) ) - log( 4, (m-5) ) = log( 4,8 ) }}}
{{{ log( 4, ((m+2)/(m-5)) ) = log( 4,8 ) }}}
{{{ (m+2)/(m-5) = 8 }}}
{{{ m+2 = 8*(m-5) }}}
{{{ m + 2 = 8m - 40 }}}
{{{ 7m = 42 }}}
{{{ m = 6 }}}
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check:
{{{ log( 4, (m+2) ) - log( 4, (m-5) ) = log( 4,8 ) }}}
{{{ log( 4, (6+2) ) - log( 4, (6-5) ) = log( 4,8 ) }}}
{{{ log( 4, 8 ) - log( 4, 1 ) = log( 4,8 ) }}}
{{{ 2/3 - 0 = 2/3 }}}
{{{ 2/3 = 2/3 }}}
OK