What is ln(2.8*((5-1.8))/(1.8*(5-2.8))) ?

The solution to ln(2.8*((5-1.8))/(1.8*(5-2.8))) is ln(2.8)++ln(5-1.8)-(ln(1.8)+ln(5-2.8))

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simplify ln(2.8((5-1.8))/(1.8(5-2.8)))

simplify

ln (2.8 \cdot \frac{( 5 - 1.8 )}{1.8 \cdot ( 5 - 2.8 )})

ln (2.8) + + ln (5 - 1.8) - (ln (1.8) + ln (5 - 2.8))

Decimal Notation

0.81652 \dots

Solution steps

ln (2.8 \cdot \frac{( 5 - 1.8 )}{1.8 ( 5 - 2.8 )})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (2.8 \cdot \frac{( 5 - 1.8 )}{1.8 ( 5 - 2.8 )}) = ln (2.8) + ln (\frac{( 5 - 1.8 )}{1.8 ( 5 - 2.8 )})

= ln (2.8) + ln (\frac{( 5 - 1.8 )}{1.8 ( 5 - 2.8 )})

Apply log rule:

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

ln (\frac{( 5 - 1.8 )}{1.8 ( 5 - 2.8 )}) = ln ((5 - 1.8)) - ln (1.8 (5 - 2.8))

= ln (2.8) + + ln (5 - 1.8) - ln (1.8 (5 - 2.8))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (1.8 (5 - 2.8)) = ln (1.8) + ln (5 - 2.8)

= ln (2.8) + + ln (5 - 1.8) - (ln (1.8) + ln (5 - 2.8))

4 ln ∣ x - 2 ∣ + 10 ln ∣ x + 5 ∣

6 lo g_{3} (u) + 4 lo g_{3} (v)

ln (y) + ln (cos (v))

ln (56) - ln (8)

ln ∣ x ∣ + \frac{1}{2} ln ∣ x + 2 ∣ - \frac{1}{3} ln ∣ x - 3 ∣

What is ln(2.8*((5-1.8))/(1.8*(5-2.8))) ?
The solution to ln(2.8*((5-1.8))/(1.8*(5-2.8))) is ln(2.8)++ln(5-1.8)-(ln(1.8)+ln(5-2.8))