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secondary 3 | A Maths
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secondary 3 chevron_right A Maths chevron_right Singapore

nvr seen this type of qn before,, pls explain too :)

have no idea whats gg on in this qn

Date Posted: 4 years ago
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Eric Nicholas K
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Something like this would be good.
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4 years ago
why apply ln tho
Eric Nicholas K
Eric Nicholas K
4 years ago
In this situation, the “t” is in the power. There is no obvious power of e which equates to 10. The only way to solve for the power is to take logarithms.

Here, logarithm to base e, or ln, is easier to the human eye because the ln counters the e immediately (recall that ln e = 1) , whereas the same cannot be said for logarithms to base 10, or lg, where there will be a surviving term lg e.

Either way, however, we will obtain the same answer.

Hence, ln is the preferred choice here.
Eric Nicholas K
Eric Nicholas K
4 years ago
The purpose of using logarithms is to “bring down the power” to the base level so that we can solve for the unknown like our usual algebra. Many operations cannot be done when the unknown is in the power, which is why we attempt to bring down the power.