What is ln(81162081/390625) ?

The solution to ln(81162081/390625) is 2ln(9009)-8ln(5)

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simplify ln(81162081/390625)

simplify

ln (\frac{81162081}{390625})

2 ln (9009) - 8 ln (5)

Decimal Notation

5.33645 \dots

Solution steps

ln (\frac{81162081}{390625})

Apply log rule:

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

ln (\frac{81162081}{390625}) = ln (81162081) - ln (390625)

= ln (81162081) - ln (390625)

ln (81162081) = 2 ln (9009)

ln (390625) = 8 ln (5)

= 2 ln (9009) - 8 ln (5)

lo g_{10} (\frac{6 x}{x + 2})

ln (\frac{5}{10})

lo g_{10} (\frac{x ^{2} y}{z})

lo g_{4} (7) - lo g_{4} (5)

ln (\frac{11}{2})

What is ln(81162081/390625) ?
The solution to ln(81162081/390625) is 2ln(9009)-8ln(5)