What will be the sum of all the values of w which satisfy 2log7|w+9| = log72401?
What will be the sum of all the values of w which satisfy 2log7|w+9| = log72401? Correct Answer -18
Given, 2log7|w+9| = log72401 ➩ 2log7|w+9| = log774 ➩ 2log7|w+9| = 4 ➩ log7|w + 9| = 2 ➩ |w + 9| = 72 = 49 ➩ w + 9 = 49 or w + 9 = -49 ➩ w = 40 or -58 Thus, the required sum is 40 – 58 = -18.