The equations of two functions, $$f$$ and $$g$$, are given. $$f(x)=2^{x}-5$$ $$g(x)=-3 x+5$$ Also the graph of $$f(x)$$ is given ![](http://admin.getprephub.com/media/editor/spr7_20230225133920187420.png) What is the solution to $$f(x)=g(x)$$ ? Round your answer to the nearest tenth, if needed.

Given that, $$f(x)=2^{x}-5$$ $${g}({x})=-3 {x}+5$$ $$f(x)=g(x)$$ gives, $$2^{x}-5=-3 x+5$$ Or, $$2^{x}+3 x-10=0$$ Or, $$2^{x}=10-3 x$$ When $$x=2$$, it satisfies the equation . Therefore at $$x=2, f(x)=g(x)$$ Also, plotting the graph of $$g(x)$$, we can see that $$f(x)$$ and $$g(x)$$ intersect at $$x=2$$. ![](http://admin.getprephub.com/media/editor/spr7s_20230225133934139838.png)

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The equations of two functions, $f$ and $g$ , are given.

$f(x)=2^{x}-5$

$g(x)=-3 x+5$

Also the graph of $f(x)$ is given

What is the solution to $f(x)=g(x)$ ? Round your answer to the nearest tenth, if needed.

$X=2$

$x=3$

$x=4$

$x=5$

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