What is ln(84375/65536)(ln(84375/65536)) ?

The solution to ln(84375/65536)(ln(84375/65536)) is (ln(84375)-16ln(2))^2

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simplify ln(84375/65536)(ln(84375/65536))

simplify

ln (\frac{84375}{65536}) (ln (\frac{84375}{65536}))

(ln (84375) - 16 ln (2))^{2}

Decimal Notation

0.06384 \dots

Solution steps

ln (\frac{84375}{65536}) (ln (\frac{84375}{65536}))

Apply log rule:

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

ln (\frac{84375}{65536}) = ln (84375) - ln (65536)

= ln (\frac{84375}{65536}) (ln (84375) - ln (65536))

Apply log rule:

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

ln (\frac{84375}{65536}) = ln (84375) - ln (65536)

= (ln (84375) - ln (65536)) (ln (84375) - ln (65536))

Simplify

(ln (84375) - ln (65536)) (ln (84375) - ln (65536)) : (ln (84375) - ln (65536))^{2}

ln (65536) = 16 ln (2)

= (ln (84375) - 16 ln (2))^{2}

ln (\frac{7}{x})

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

lo g_{10} (x) + lo g_{10} (14)

ln (x^{10} 3 - x)

4 ln (w) - \frac{1}{5} ln (p)

What is ln(84375/65536)(ln(84375/65536)) ?
The solution to ln(84375/65536)(ln(84375/65536)) is (ln(84375)-16ln(2))^2