If log2 = a and log3 = b then [log(1) + log(1+3) + log(1+3+5) + ..... + ..... + log(1+3+5+7+.......+19)] - 2[log1 + log2 + log3 + ...... + log7] = p + qa + rb where p, q, r are conatants. What is the value of p + 2q + 3r, if all logs are in base 10?
Given: log 2 = a, log 3 = b
Now
Comparing it with p + qa + rb
We get p = 2, q = 6, r = 4
∴ p + 2q + 3r = 2 + 12 + 12 = 26