log10(10) + log10(100) + log10(1000) + log10(10000) + log10(100000) is equal…

2024

log10(10) + log10(100) + log10(1000) + log10(10000) + log10(100000) is equal to ?

  1. A.

    14

  2. B.

    15

  3. C.

    13

  4. D.

    12

Attempted by 2 students.

Show answer & explanation

Correct answer: B

Key idea: use the fact that log base 10 of 10^n equals n.

  1. Evaluate each logarithm:

    log10(10) = 1, log10(100) = 2, log10(1000) = 3, log10(10000) = 4, log10(100000) = 5.

  2. Add the results:

    1 + 2 + 3 + 4 + 5 = 15.

Answer: 15

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