How do you solve # x ^ 2 - ln x = ln 18 - 6#?
There is no real solution.
The equation can rearranged to the form
Draw the graphs for y = 18 x and
The first is a straight line through the origin with slope 18, running from the fourth to the first quadrant.
The second is exponential and asymptotic to y = 0, and is raising from y-axis at
So, there is no solution. .