simplify ln(25/80)

Solution

simplify

ln (\frac{25}{80})

2 ln (5) - ln (80)

Decimal Notation

- 1.16315 \dots

Solution steps

ln (\frac{25}{80})

Apply log rule:

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

ln (\frac{25}{80}) = ln (25) - ln (80)

= ln (25) - ln (80)

ln (25) = 2 ln (5)

= 2 ln (5) - ln (80)

\frac{25.5 \cdot 38}{292 \cdot 1 0 ^{- 3} \cdot 8} ln (\frac{780}{450})

\frac{1}{2} ln (43 + 8) - \frac{1}{2} ln (4)

\frac{7 ln ( 101 )}{2} + 534

ln (1.25 x)

ln (\frac{m !}{( 1 + x ) ^{m + 1}})