What is ln((10)/(620.99^2)) ?

The solution to ln((10)/(620.99^2)) is ln(10)-2ln(620.99)

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simplify ln((10)/(620.99^2))

simplify

ln (\frac{10}{620.9 9 ^{2}})

ln (10) - 2 ln (620.99)

Decimal Notation

- 10.56004 \dots

Solution steps

ln (\frac{10}{620.9 9 ^{2}})

Apply log rule:

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

ln (\frac{10}{620.9 9 ^{2}}) = ln (10) - ln (620.9 9^{2})

= ln (10) - ln (620.9 9^{2})

Apply log rule:

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

ln (620.9 9^{2}) = 2 ln (620.99)

= ln (10) - 2 ln (620.99)

\frac{9}{2} ln (2)

\frac{1}{2} ln (u) - \frac{1}{2} ln (u - 1)

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

lo g_{10} (\frac{3}{( x - y ) ^{3}})

- lo g_{10} (4.2 \cdot 1 0^{- 12})

What is ln((10)/(620.99^2)) ?
The solution to ln((10)/(620.99^2)) is ln(10)-2ln(620.99)