What is ln(2)-3/2+ln(5/2)-21/50 ?

The solution to ln(2)-3/2+ln(5/2)-21/50 is ln(5)-48/25

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simplify ln(2)-3/2+ln(5/2)-21/50

simplify

ln (2) - \frac{3}{2} + ln (\frac{5}{2}) - \frac{21}{50}

ln (5) - \frac{48}{25}

Decimal Notation

- 0.31056 \dots

Solution steps

ln (2) - \frac{3}{2} + ln (\frac{5}{2}) - \frac{21}{50}

Apply log rule:

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

ln (2) + ln (\frac{5}{2}) = ln (2 \cdot \frac{5}{2})

= ln (2 \cdot \frac{5}{2}) - \frac{3}{2} - \frac{21}{50}

2 \cdot \frac{5}{2} = 5

= ln (5) - \frac{3}{2} - \frac{21}{50}

Combine the fractions

- \frac{3}{2} - \frac{21}{50} : - \frac{48}{25}

= ln (5) - \frac{48}{25}

ln ∣ x ∣ + \frac{1}{5} ln 1 + 5 u^{3}

3 ln (x + 1) + 3 ln (x - 1)

ln (a) - ln (s^{2} + 4)

ln (\frac{- 78}{- 80})

ln (\frac{3857 - 8626449}{2500})

What is ln(2)-3/2+ln(5/2)-21/50 ?
The solution to ln(2)-3/2+ln(5/2)-21/50 is ln(5)-48/25