Mathematics · Logarithms
Let a = 30!, b = 50!, and c = 100!. Consider the following numbers: loga c, logc a, logb a, loga b. Which one of the following inequalities is CORRECT?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1logb a < logc a < loga b < loga c
- 2logc a < logb a < loga c < loga b
- 3logc a < loga b < logb a < logb c
- 4logc a < logb a < loga b < loga c✓
Correct answer
logc a < logb a < loga b < loga c
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