Time complexity

Question

what is the time complexity for this code
 

for(i=1; i<=n ; i++){

      for(j=1; j<=log(i) ; j++){

          //Do something

           }

}

Comments

i=1 ===> j loop runs log (1) times

i=2 ===> j loop runs log (2) times

i=3 ===> j loop runs log (3) times

......

i=n ===> j loop runs log (n) times

Total time runs = log(1) + log(2) + ....+ log(n) = log (1.2.3.4.....n) = log (n!) = log(nⁿ) = n.log(n)

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O(nlogn) ?

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Thank you for the explanation!