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The value of \(\frac{log128-log8}{log4}\) is:
1. 7
2. 5
3. 2
4. None of these

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Correct Answer - Option 3 : 2

Given:

\(\frac{log128-log8}{log4}\)

Formula used:

If base is same

Log a - Log b = Log(a/b)

Log(an) = n Log a

Calculation:

According to the question, 

(Log 128 - Log 8)/Log 4

Using the log formula 

⇒ Log(128/8)/Log 4

⇒ Log 16/Log 4

⇒ Log(42)/Log 4

Using the formula Log(an) = n Log a

⇒ 2 Log 4/Log 4

⇒ 2

∴ The value of \(\frac{log128-log8}{log4}\) is 2.

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