Question 817070
{{{ x-1 }}} cannot be negative. There is no log
which can result in a negative number.
There is an asymptote at {{{ x = 1 }}} at which point
{{{ y }}} goes to minus infinity.
For {{{ x = 2 }}}, {{{ f(x) = 0 }}}
--------------------------------------
So the domain of {{{ f(x) }}} is {{{ x > 1 }}}
Here's the plot:
{{{ graph( 400, 400, -2, 10, -6, 6, log( 2, (x-1))) }}}