# How do you use the graphing calculator to solve 3x-2=5^(x-1)?

Dec 15, 2016

Graph both equations $3 x - 2$ and ${5}^{x - 1}$ separately and see where is the intersection, the intersection is where they are equal
The intersection is at $x = \textcolor{red}{1}$ and $x = \textcolor{b l u e}{1.707}$ which seems to be $\textcolor{b l u e}{1 + \frac{\sqrt{2}}{2}}$
These two $x$ values are your solution