What is ln((12256.78)/(6398.86)) ?

The solution to ln((12256.78)/(6398.86)) is ln(12256.78)-ln(6398.86)

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simplify ln((12256.78)/(6398.86))

simplify

ln (\frac{12256.78}{6398.86})

ln (12256.78) - ln (6398.86)

Decimal Notation

0.64995 \dots

Solution steps

ln (\frac{12256.78}{6398.86})

Apply log rule:

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

ln (\frac{12256.78}{6398.86}) = ln (12256.78) - ln (6398.86)

= ln (12256.78) - ln (6398.86)

- \frac{1600 ln ( \frac{2}{5} )}{ln ( 2 )}

0.4 \cdot lo g_{2} (\frac{1}{0.4}) + 0.6 \cdot lo g_{2} (\frac{1}{0.6})

\frac{3 ln ^{2} ( 5 )}{2} - 6 ln^{2} (2)

2 lo g_{8} (x) - \frac{1}{2} lo g_{8} (w) + 4 lo g_{8} (y)

ln (\frac{2.5}{1.5})

What is ln((12256.78)/(6398.86)) ?
The solution to ln((12256.78)/(6398.86)) is ln(12256.78)-ln(6398.86)