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Cancelling l n ( 1 0 1 ) , we obtain 1 > 2
What option explains the mistake?
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The answer is not correct (or the options are misleading)
e.g. -5 > -6
you can't remove -ve sign because this will lead to 5 > 6
my answer was you can not cancel (ln n) in this case >>>
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yup the options are a bit confusing but on thinking we get that because ln(.1) is negative we cannot cancel it without changing the sign of the inequality. we can understand this as "ln(.1) being negative is the cause of this cancelling" Yeah i know its confusing but can't explain it here just by typing
You are damn right!!
If you do cancel the ln from both sides, the inequality sign must be flipped, because you are dividing by a negative. Thus, the result would be 2 > 1
Dividing both sides of the inequality by a negative number changes the inequality symbol to its opposite.
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logarithm of any number less than 1 is negative!