log 10 (log 2 3) + log 10 (log 3 4) + log 10 (log 4 5) + ..…

Maths Fundamental of Mathematics Logarithm Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

log 10 (log 2 3) + log 10 (log 3 4) + log 10 (log 4 5) + ........ + log 10 (log 1023 1024) simplifies to

a composite

a prime number

rational which is not an integer

an integer

Text Solution

Verified by Experts

The correct answer is:

log 10 (log 2 3 . log 3 4 . log 4 5.......log 10231024 ) = log 10 (log 2 1024) = log 10 (log 2 2 10 ) = log 10 (10) = 1

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