Question 1208791
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Solve for x.


12^(sqrt{x^2}) - 24^(x - 2) = 144
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It is not for algebraic solution - in Algebra, there are no methods solving such equations.


Use either your graphics calculator or online tools to get approximate numerical solutions.


For example, you may use an online solver https://www.desmos.com/calculator


Print there  y = 12^(sqrt{x^2}) - 24^(x - 2)  in one window and  y = 144  in another window.



Calculator will provide the plot, and you can identify two root  

    x = -2 (an approximate value)  and x = 2.00281  (another approximate value) 


by clicking at the intersection points.   <U>ANSWER</U>
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Solved.