Question 823317
{{{ log(4,(2x))-log(4,(x-1)) = -1 }}}


{{{ log(4,(2x/(x-1))) = -1 }}}


{{{ 2x/(x-1) = 4^(-1) }}}


{{{ 2x/(x-1) = 1/(4^1) }}}


{{{ 2x/(x-1) = 1/4 }}}


{{{ 2x*4 = 1(x-1) }}}


{{{ 8x = x-1 }}}


{{{ 8x-x = -1 }}}


{{{ 7x = -1 }}}


{{{ x = -1/7 }}}


I'll let you perform the check.