What is 9/5 ln(4)-9/5 ln(3) ?

The solution to 9/5 ln(4)-9/5 ln(3) is ln((4*4^{4/5}\sqrt[5]{3})/(3^2))

Popular >

simplify 9/5 ln(4)-9/5 ln(3)

simplify

\frac{9}{5} ln (4) - \frac{9}{5} ln (3)

Decimal Notation

0.51782 \dots

Solution steps

\frac{9}{5} ln (4) - \frac{9}{5} ln (3)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

\frac{9}{5} ln (4) = ln (4^{\frac{9}{5}})

= ln (4^{\frac{9}{5}}) - \frac{9}{5} ln (3)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

\frac{9}{5} ln (3) = ln (3^{\frac{9}{5}})

= ln (4^{\frac{9}{5}}) - ln (3^{\frac{9}{5}})

Apply log rule:

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

ln (4^{\frac{9}{5}}) - ln (3^{\frac{9}{5}}) = ln (\frac{4 ^{\frac{9}{5}}}{3 ^{\frac{9}{5}}})

= ln (\frac{4 ^{\frac{9}{5}}}{3 ^{\frac{9}{5}}})

ln (\frac{828}{613.1})

lo g_{2} (\frac{( x y ) ^{4}}{z ^{2}})

ln (\frac{1806}{1400})

ln (- in f ini t y)

lo g_{12} (\frac{x - 7}{x + 2})

What is 9/5 ln(4)-9/5 ln(3) ?
The solution to 9/5 ln(4)-9/5 ln(3) is ln((4*4^{4/5}\sqrt[5]{3})/(3^2))