Find the exact value of $c$ in the figure shown below, where the line $l$ tangent to the graph of $y = 2^x$ at $(0, 1)$ intersects the $x$-axis.
looking at the graph, find the exact slope of the tangent line at $(0, 1)$, the equation of the tangent line and the exact value of $c$.
I started with finding the derivative of the equation, so $y= 2^x$
$f'(0)= \ln(2) $, is that right for the slope ?
tangent equation = $y=mx+b$
I feel that I am far away from the right answer. could anyone help me get through it.