A $10^n$ price pattern puzzle

Question

This is a chart filled with numbers. The numbers are linked to each other.

30	1	0	29	9	𝑎1	6	6
4	77	1	𝑎2	2	54	𝑎3	2
60	𝑎4	9	9	𝑎5	1	𝑎6	2
6	98	97	𝑎7	0	0	43	3
77	8	𝑎8	1	𝑎9	0	3	8
8	45	0	𝑎10	0	40	0	1

The question is: find the value of

𝑎₁𝑎₂𝑎₃...𝑎₁₀

Hint 1:

2, 3, 4, 5, 6

Hint 2:

The numbers are related in rows

Hint 3:

The numbers can be chained together

Answer 1

𝑎1𝑎2𝑎3...𝑎10 is:

0 coming from the values 95,21,7,205,9,13,0,15,25,98 (or 952172059130152598 if concatenation, or 0 if multiplication)

Because

As the title and hints allude to, each row reads out 'n' for the equation 10^n=[row # + 1], if one adds a decimal to the front.
Reducing this (solving for n), each row is a list of the digits for log(row # + 1).
For example, for row # 1: log(1+1) = log(2) = .301029995664, so the missing value for 𝑎1 is 95. For row # 2, log(2+1) = log(3) = .47712125472, and so forth.