Question 890114
If you really meant what you wrote, you would have a false equation.  


THIS is what you must really mean:

{{{highlight_green((3-ln(z))/ln(z)=4)}}}
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{{{3-ln(z)=4*ln(z)}}}
{{{3=4*ln(z)+ln(z)}}}
{{{5*ln(z)=3}}}
{{{ln(z)=3/5}}}


You now want antilog of {{{3/5}}}.
This should be about {{{highlight(z=1.82212)}}}.