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We have ` (2x - 3) 2^(x) = 1` <br> ` or 2x-3 = 2^(-x) `<br> To find the number of roots of the above equation, we need to find the number of points of intersection of ` y = 2x - 3 and y = 2^(-x)`.<br> The graphs of functions are as shown in the following figure. <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/CEN_TRI_C01_S01_006_S01.png" width="80%"> <br> From the figure, graphs intersect at only one point. <br> Hence, there is only one solution of the given equation.Transcript

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00:00 - 00:59 | find the number of solution of the equation 2 x minus 3 into 2 to the power x is equal to one type of question can only be approved by the graph method if you this function can do it - 3 is equal to what this is equal to minus to draw the graph of this function and dysfunction cutting to each other at any point the number 120 solution of this question draw a graph ok this is my next Y and it is ok now the graph to the power minus x if x is equal to infinity |

01:00 - 01:59 | approaches to zero is equal to its opposite word Vice City this function point is what please point only please 2001 because at the value of I will draw the graph of this function value of minus 3 ok and at x is equal to what if you extend 23 to |

02:00 - 02:59 | the power minus 8 at only one time on only one time only ok thank you |