What is ln|p|-ln|p+1000000| ?

The solution to ln|p|-ln|p+1000000| is ln((|p|)/(|p+1000000|))

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simplify ln|p|-ln|p+1000000|

simplify

ln ∣ p ∣ - ln ∣ p + 1000000 ∣

ln (\frac{∣ p ∣}{∣ p + 1000000 ∣})

Solution steps

ln ∣ p ∣ - ln ∣ p + 1000000 ∣

Apply log rule:

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

ln ∣ p ∣ - ln ∣ p + 1000000 ∣ = ln (\frac{∣ p ∣}{∣ p + 1000000 ∣})

= ln (\frac{∣ p ∣}{∣ p + 1000000 ∣})

(\frac{1}{3} ln ∣ e^{x} + 1 ∣ + \frac{2}{3} ln ∣ e^{x} - 2 ∣) \cdot e^{x}

- \frac{1}{0.43861} ln (\frac{5}{1205})

ln (5 \cdot e^{7 - x})

ln (2 x) + ln (x)

ln (6) + ln (\frac{e ^{(1.86367)}}{3})

What is ln|p|-ln|p+1000000| ?
The solution to ln|p|-ln|p+1000000| is ln((|p|)/(|p+1000000|))