I have equations for two lines, one of which is linear and the other is logarithmic, ie:
$$y = m_1 x + c_1$$
$$y = m_2 \cdot \ln(x) + c_2$$
..and I need to find out where (if at all) these lines intersect. I realise that I need to solve:
$$ m_1 \cdot x + c_1 = m_2 \cdot \ln(x) + c_2$$
..for $x$, but apart from shuffling the constants around I'm not sure how to do this.
Is there a general solution to this problem?