 Hello and welcome to the session. In this session we are going to discuss a question which says that draw the log of y is equal to log x minus 1 whole to the base 2. Now before starting the solution of this question we should know our result. And that is if log a to the base n is equal to b then n is to be b is equal to a. Now this result will work out as a key idea of solving out this question. And now we will start with the solution. Here x is given to us so given y is equal to log whole to the base 2 is equal to x minus 1 which further implies that 1 is equal to x. Now for different values of y corresponding values of x. So we will draw a table for the different values of x and y. Now x is equal to 2 raised to power y plus 1, y is equal to 0, x is equal to 2 raised to power 0 plus 1 which is equal to 1 plus 1 as 2 raised to power 0 is equal to 1. So it is equal to 1 plus 1 which is equal to 2 equal to 0, x is equal to 2. Now for y is equal to 1 which is equal to 2 plus 1 which is equal to 3. So for y is equal to 1 equal to 2 which is equal to 4 plus 1 which is equal to 5 equal to 2 minus 2 power 3 plus 1 which is equal to 8 plus 1 which is equal to 9. So for y is equal to 3 we are letting x is equal to 9. Now for y is equal to minus 1, minus 1 plus 1, which is equal to 1 by 2, plus 1 by 2, and this is 1.5, which is equal to minus 1, x is equal to 1.5. Now for y is equal to minus 2, super minus 2 plus 1, which is equal to 2 plus 1, which is equal to 1 by 4 plus 1, which is equal to 5 by 4, which on rounding off is equal to 1.3. For y is equal to minus 2, x is equal to 1.3. Now for y is equal to minus 3, x is equal to 2 raise to power minus 3 plus 1, which is equal to 1 over 2 raise to power 3 plus 1, which is equal to 1 by 8 plus 1, which is equal to 9 by 9 is equal to 1.125, which on rounding off is equal to 1.1, equal to minus 3, equal to 1.1. And now we will plot these points 2 0 on the graph, 2 0 on the graph, plot the point 3 1 on the graph, this is the point 3 1 on the graph, 2 on the graph. So this is the point 5 2 on the graph, all these points on the graph. Now we have plotted all these points on the graph. Now we are getting the graph of y is equal to log x minus 1 whole to the base 2. You can observe from the graph that as x tends to 0, y tends to minus infinity, and here x tends to infinity, y also tends to infinity of the given question, and that's all for this session. Hope you all have enjoyed this session.