Zero
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In this question, we are multiplying the logarithms of numbers from 1 to 100.
In this case, log1 is equal to 0 (because 10 to the power of 0 equals 1).
Using the property that any number multiplied by zero is zero, the product is equal to 0.
This is also applicable to using any base for the logarithm, since log₁0 and ln behave the same way. So, the above explanation stands valid for both common logarithm (log based 10) and natural logarithm (log based e).