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

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

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Answer 1 · 2016-12-15T11:07:32

Graph both equations $3 x - 2$ $3x-2$ and $5^{x - 1}$ $5^(x-1)$ separately and see where is the intersection, the intersection is where they are equal

Explanation:

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The intersection is at $x = 1$ $x=color(red)1$ and $x = 1.707$ $x=color(blue)1.707$ which seems to be $1 + \frac{\sqrt{2}}{2}$ $color(blue)(1+sqrt2/2)$

These two $x$ $x$ values are your solution

Note:-
*I used the app "Desmos graphing calculator" on (iPad) iOS 10 to graph the functions

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

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