IIFT 2016 Question Paper Question 106

Question 106

Find the value of x which satisfies the following equation $$4log_7 (x - 8) = log_3 81$$

Solution

                                    $$4log_7 (x - 8) = log_3 81$$

                                     $$4log_7 (x - 8) = log_3 3^{4}$$

                                     $$4log_7 (x - 8) =4*log_3 3$$

                                        $$log_7 (x - 8) =1$$

                                          $$(x - 8) =7^{1}$$

                                            $$x = 7+8$$

                                             $$x = 15$$



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