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Popular >

simplify ln|n^2+5|-ln|14|

Solution

simplify

ln n^{2} + 5 - ln ∣ 14 ∣

Solution

ln (\frac{n ^{2} + 5}{14})

Solution steps

ln n^{2} + 5 - ln ∣ 14 ∣

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln n^{2} + 5 - ln ∣ 14 ∣ = ln (\frac{n ^{2} + 5}{∣ 14 ∣})

= ln (\frac{n ^{2} + 5}{∣ 14 ∣})

∣ 14 ∣ = 14

= ln (\frac{n ^{2} + 5}{14})

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Frequently Asked Questions (FAQ)

What is ln|n^2+5|-ln|14| ?
The solution to ln|n^2+5|-ln|14| is ln((|n^2+5|)/(14))