If x is a positive integer and $10^x – 74$ in decimal notation has digits whose sum is 440, what is the value of x?

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What this question tests

Your grasp of exponent rules — multiplying and dividing powers, power-of-a-power, and negative/zero exponents.

Adding exponents when multiplying bases that have the same exponent, or confusing (x^a)^b with x^(a·b).

If x is a positive integer and 10x–7410^x – 7410x–74 in decimal notation has digits whose sum is 440, what is the value of x?