The next 3 numbers are 184, 375, and 758. Subtract the numbers (8-3, 19-8, 43-19 etc) you get a trend of 5, 11, 23, 47 and 95, if you subtract those (11-5, 23-11, 47-23) you get a trend of 6, 12, 24, which is just multiplied by 2 (6 x2 is 12, 12x 2 is 24). You can complete that by multiplying by two. You’ll notice that compared with that on both sides you’ve got 6, 12, 24, 48, and on another side you’ve got 5, 11, 23, 47 (one side is smaller by 1). You can add to get the next number in the sequence from 5, 11, 23, 47, etc. (3+5=8, 8+11=19........89+95=184, 184+191= 375, 375+ 383= 758. Hope that helped
Both sides are logarithms to the same base, namely 20
, which implies the expressions in x (what we are taking logarithms of) must be equal. So we need to solve
