What is ln((10)/(627.68^2)) ?

The solution to ln((10)/(627.68^2)) is ln(10)-2ln(627.68)

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simplify ln((10)/(627.68^2))

simplify

ln (\frac{10}{627.6 8 ^{2}})

ln (10) - 2 ln (627.68)

Decimal Notation

- 10.58147 \dots

Solution steps

ln (\frac{10}{627.6 8 ^{2}})

Apply log rule:

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

ln (\frac{10}{627.6 8 ^{2}}) = ln (10) - ln (627.6 8^{2})

= ln (10) - ln (627.6 8^{2})

Apply log rule:

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

ln (627.6 8^{2}) = 2 ln (627.68)

= ln (10) - 2 ln (627.68)

lo g_{2} (\frac{n}{e})

lo g_{4} (4^{x} sin^{2} (x))

4.184 \cdot ln (\frac{446.15}{273.15})

ln (149 e^{2 x + 11} e^{- y - 17})

30 + 20 ln (y) + ln (x)

What is ln((10)/(627.68^2)) ?
The solution to ln((10)/(627.68^2)) is ln(10)-2ln(627.68)