Question
Download Solution PDFWhich of the following is true ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
We need to check the truth value of: log17275 = log19375
Formula used:
Change of base formula: logab = log b / log a
Calculation:
log17275 = log(275) / log(17) ≈ 2.4393 / 1.2304 ≈ 1.983
log19375 = log(375) / log(19) ≈ 2.5740 / 1.2788 ≈ 2.012
⇒ log17275 ≠ log19375
⇒ log17275 < log19375
∴ Correct option is: 3) log17275 < log19375
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