What is ln(4/3)*ln(4/3) ?

The solution to ln(4/3)*ln(4/3) is (2ln(2)-ln(3))^2

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simplify ln(4/3)*ln(4/3)

simplify

ln (\frac{4}{3}) \cdot ln (\frac{4}{3})

(2 ln (2) - ln (3))^{2}

Decimal Notation

0.08276 \dots

Solution steps

ln (\frac{4}{3}) ln (\frac{4}{3})

Apply log rule:

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

ln (\frac{4}{3}) = ln (4) - ln (3)

= ln (\frac{4}{3}) (ln (4) - ln (3))

Apply log rule:

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

ln (\frac{4}{3}) = ln (4) - ln (3)

= (ln (4) - ln (3)) (ln (4) - ln (3))

Simplify

(ln (4) - ln (3)) (ln (4) - ln (3)) : (ln (4) - ln (3))^{2}

ln (4) = 2 ln (2)

= (2 ln (2) - ln (3))^{2}

ln (x + 4) + ln (x) + ln (x + 10)

ln (\frac{50.14}{161.2})

lo g_{10} (\frac{B}{10 A})

ln (8 x^{l n (8 x)})

lo g_{2} (\frac{4}{x + 2})