 Hello and welcome to the session. In this session we discussed the same question that says, find the value of x if 5 to the power log x plus 3 to the power log x is equal to 3 to the power log x plus 1 minus 5 to the power log x minus 1. If we want to do solution log, we are supposed to find the value of x and we are given that 5 to the power log x plus 3 to the power log x is equal to 3 to the power log x plus 1 minus 5 to the power log x minus 1. The further we have 5 to the power log x plus 5 to the power log x minus 1 is equal to 3 to the power log x plus 1 minus 3 to the power log x. This gives us 5 to the power log x plus 5 to the power log x upon this is equal to 3 to the power log x multiplied by 3 minus 3 to the power log x. Now we can take 5 to the power log x common in the left hand side and so we have 5 to the power log x into 1 plus 1 upon 5 and this is equal to taking 3 to the power log x common in the right hand side. So we have here 3 to the power log x into 3 minus 1. This gives us 5 to the power log x into 1 plus 1 upon 5 is 6 upon 5 is equal to 3 to the power log x into 3 minus 1 is. Next we have 5 to the power log x upon 3 to the power log x is equal to 2 into 5 upon 6. Now here 2 3 times is 6. So we have 1 3 and this whole to the power log x is equal to 5 upon 3. Or you can say 5 upon 3 whole to the power 1. So this means that log x is equal to 1. Now since we know that is log x n to the base a is equal to x then this means that a to the power x is equal to therefore using this in this then that is where we have 10. So this with me when 10 to the power 1 is equal to therefore the value of x is this complete sufficient that we have understood the solution.