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Let 1 – log10105 = 1/3(log10101/2 + log1010x + 1/3log10105) Where x = 2m/5n, then what is the value of m + 3n?

Option 1 -

5

Option 2 -

6

Option 3 -

9

Option 4 -

13/3

0 2 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • P

    Answered by

    Payal Gupta | Contributor-Level 10

    a month ago
    Correct Option - 1


    Detailed Solution:

    1−log10105=13 [log1010x×51/32]

    3 [log101010 – log10105] = log1010x×51/32

    log101023 = log1010x×51/32

    23 = x×51/32

    x = 2451/3

    Hence, m + 3n = 4+3×13 = 5

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