What is ln((15)/(627.68^2)) ?

The solution to ln((15)/(627.68^2)) is ln(15)-2ln(627.68)

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simplify ln((15)/(627.68^2))

simplify

ln (\frac{15}{627.6 8 ^{2}})

ln (15) - 2 ln (627.68)

Decimal Notation

- 10.17601 \dots

Solution steps

ln (\frac{15}{627.6 8 ^{2}})

Apply log rule:

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

ln (\frac{15}{627.6 8 ^{2}}) = ln (15) - ln (627.6 8^{2})

= ln (15) - 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 (15) - 2 ln (627.68)

ln (x) - (ln (ln (\frac{y}{x})) - ln (\frac{y}{x}))

2 ln (\frac{1}{0.96})

20 e^{3 (3)} - ln (3 + 9) - 20 e^{3 (0)} - ln (0 + 9)

ln (\frac{66}{58})

ln (x) - ln^{2} (x)

What is ln((15)/(627.68^2)) ?
The solution to ln((15)/(627.68^2)) is ln(15)-2ln(627.68)