What is log_{b}((x^3*y)/(z^9)) ?

The solution to log_{b}((x^3*y)/(z^9)) is 3log_{b}(x)+log_{b}(y)-9log_{b}(z)

Popular >

simplify log_{b}((x^3*y)/(z^9))

simplify

lo g_{b} (\frac{x ^{3} \cdot y}{z ^{9}})

3 lo g_{b} (x) + lo g_{b} (y) - 9 lo g_{b} (z)

Solution steps

lo g_{b} (\frac{x ^{3} y}{z ^{9}})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{b} (\frac{x ^{3} y}{z ^{9}}) = lo g_{b} (x^{3} y) - lo g_{b} (z^{9})

= lo g_{b} (x^{3} y) - lo g_{b} (z^{9})

lo g_{b} (x^{3} y) = 3 lo g_{b} (x) + lo g_{b} (y)

lo g_{b} (z^{9}) = 9 lo g_{b} (z)

= 3 lo g_{b} (x) + lo g_{b} (y) - 9 lo g_{b} (z)

ln (\frac{3 + 5}{2})

lo g_{9} (\frac{x ^{\frac{1}{2}} y ^{\frac{1}{2}}}{( x + 6 ) ^{6}})

\frac{1}{3} ln (sec (3 x) + tan (3 x))

ln (\frac{1.8}{3.6}) (- \frac{5730}{ln ( 2 )})

lo g_{9} (\frac{25}{36}) + lo g_{3} (\frac{54}{5})

What is log_{b}((x^3*y)/(z^9)) ?
The solution to log_{b}((x^3*y)/(z^9)) is 3log_{b}(x)+log_{b}(y)-9log_{b}(z)