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I am doubting if this question is correctly written.

10 to the power of what the number results in 100?

If this were not a valid question, how would I have to ask it?

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An English-speaking mathematician would probably say this instead:

What is the logarithm (base 10) of 100?

This is usually written "log10 100" in mathematical typography.

If you really don't want to use the word "logarithm," you could ask:

  • 10 to the power of what number equals 100? (Note there is no article before "number, and "equals" is more idiomatic than "results in.")
  • To what power do you have to raise 10 to get 100?
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  • Thank you for answering and giving more idiomatic ways to say this
    – ALP
    Dec 10, 2019 at 14:44

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