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 ?
- A.
14
- B.
15
- C.
13
- 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.
Evaluate each logarithm:
log10(10) = 1, log10(100) = 2, log10(1000) = 3, log10(10000) = 4, log10(100000) = 5.
Add the results:
1 + 2 + 3 + 4 + 5 = 15.
Answer: 15