 Hello and welcome to the session. In this session we are going to discuss the following question which says that Solve for x and the equation given is For raise to the power x plus 1 the whole minus 2 is equal to 1,055 Now let us start with the solution of this question Now we are given an equation that is For raise to the power x plus 1 the whole minus 2 is equal to 1,055 and we have to solve it for x First we add 2 on both sides of the equation and we get For raise to power x plus 1 the whole minus of 2 plus 2 is equal to 1,055 plus 2 which implies that for raise to power x plus 1 the whole is equal to 1,057 Next taking common logarithm on both sides of the equation we get log of For raise to power x plus 1 the whole is equal to log of 1,057 We know that log of m raise to power n to the base b is equal to n into log of m to the base b Now using this property here we get x plus 1 the whole into log of 4 is equal to log of 1,057 Further we divide by log of 4 on both sides of the equation and we get x plus 1 the whole into log of 4 whole upon log of 4 is equal to log of 1,057 upon log of 4 which further implies that x plus 1 is equal to log of 1,057 upon log of 4 Now by using calculator we get the value of log of 1,057 as 3.02 and the value of log 4 as 0.60 which implies that x plus 1 is equal to 3.02 upon 0.60 Now it further implies that x plus 1 is equal to now dividing 3.02 by 0.60 we get 5.03 On simplifying further we get x is equal to 5.03 minus of 1 which further implies that x is equal to 4.03 Therefore we get the value of x as 4.03 which is the required answer This completes our session Hope you enjoyed this session