What is 89.9(-ln|0.3+0.2|+ln|0.2|) ?

The solution to 89.9(-ln|0.3+0.2|+ln|0.2|) is 89.9ln(0.4)

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simplify 89.9(-ln|0.3+0.2|+ln|0.2|)

simplify

89.9 (- ln ∣ 0.3 + 0.2 ∣ + ln ∣ 0.2 ∣)

89.9 ln (0.4)

Decimal Notation

- 82.37453 \dots

Solution steps

89.9 (- ln ∣ 0.3 + 0.2 ∣ + ln ∣ 0.2 ∣)

Apply log rule:

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

ln ∣ 0.2 ∣ - ln ∣ 0.3 + 0.2 ∣ = ln (\frac{∣ 0.2 ∣}{∣ 0.3 + 0.2 ∣})

= 89.9 (ln (\frac{∣ 0.2 ∣}{∣ 0.3 + 0.2 ∣}))

\frac{∣ 0.2 ∣}{∣ 0.3 + 0.2 ∣} = 0.4

= 89.9 (ln (0.4))

Remove parentheses:

(a) = a

= 89.9 ln (0.4)

\frac{18}{16 π ^{2}} ln (\frac{( 16 ) ^{2}}{0.03 \cdot 16 π ^{2}})

- 4 ln (5) + \frac{1}{3} ln (y)

lo g_{10} (\frac{x}{5})

ln (\frac{( x + 2 ) ^{6}}{x ^{5}})

ln (\frac{3 + x}{4})

What is 89.9(-ln|0.3+0.2|+ln|0.2|) ?
The solution to 89.9(-ln|0.3+0.2|+ln|0.2|) is 89.9ln(0.4)