Jackson L.

asked • 01/25/17

What are the steps to solve for x: 3^x = (3/2)x + 3

Exponential equations

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Mark M. answered • 01/25/17

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The given equation is 3x = (3/2)x + 3.  To solve this, I think that you need something more than pencil and paper, such as a graphing calculator.  To solve the equation with the aid of a graphing calculator, graph y = 3x and y = (3/2)x + 3.  Then use the "intersection" function under the MATH menu to find the x-coordinates of the points of intersection.           
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Mark M.

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There are 2 points of intersection.  Wolfram Alpha yields x ≈ -1.919 and x ≈ 1.513.  
 
Mark M (Bayport, NY)
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01/25/17

Jackson L.

Thanks Mark. Yes I used my TI 84 to do just that before I posted the question, but I could not figure out an algebraic method to solve it. Thanks you for your advice.
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01/25/17

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