What is ln(((8.9-2)^2)/(|8.9-3|))+C ?

The solution to ln(((8.9-2)^2)/(|8.9-3|))+C is 2ln(6.9)-ln(5.9)+C

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simplify ln(((8.9-2)^2)/(|8.9-3|))+C

simplify

ln (\frac{( 8.9 - 2 ) ^{2}}{∣ 8.9 - 3 ∣}) + C

2 ln (6.9) - ln (5.9) + C

Solution steps

ln (\frac{( 8.9 - 2 ) ^{2}}{∣ 8.9 - 3 ∣}) + C

Apply log rule:

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

ln (\frac{( 8.9 - 2 ) ^{2}}{∣ 8.9 - 3 ∣}) = ln ((8.9 - 2)^{2}) - ln ∣ 8.9 - 3 ∣

= ln ((8.9 - 2)^{2}) - ln ∣ 8.9 - 3 ∣ + C

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln ((8.9 - 2)^{2}) = 2 ln (8.9 - 2)

= 2 ln (8.9 - 2) - ln ∣ 8.9 - 3 ∣ + C

2 ln (8.9 - 2) = 2 ln (6.9)

ln ∣ 8.9 - 3 ∣ = ln (5.9)

= 2 ln (6.9) - ln (5.9) + C

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ln (1200 - y) + ln (y - 100)

What is ln(((8.9-2)^2)/(|8.9-3|))+C ?
The solution to ln(((8.9-2)^2)/(|8.9-3|))+C is 2ln(6.9)-ln(5.9)+C