What is 6log_{9}(x)-3log_{9}(y) ?

The solution to 6log_{9}(x)-3log_{9}(y) is log_{9}((x^6)/(y^3))

Popular >

simplify 6log_{9}(x)-3log_{9}(y)

simplify

6 lo g_{9} (x) - 3 lo g_{9} (y)

lo g_{9} (\frac{x ^{6}}{y ^{3}})

Solution steps

6 lo g_{9} (x) - 3 lo g_{9} (y)

Apply log rule:

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

6 lo g_{9} (x) = lo g_{9} (x^{6})

= lo g_{9} (x^{6}) - 3 lo g_{9} (y)

Apply log rule:

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

3 lo g_{9} (y) = lo g_{9} (y^{3})

= lo g_{9} (x^{6}) - lo g_{9} (y^{3})

Apply log rule:

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

lo g_{9} (x^{6}) - lo g_{9} (y^{3}) = lo g_{9} (\frac{x ^{6}}{y ^{3}})

= lo g_{9} (\frac{x ^{6}}{y ^{3}})

- lo g_{10} (8.7 \cdot 1 0^{- 9})

\frac{1}{2} lo g_{10} (x) + lo g_{10} (y)

0.33 \cdot lo g_{10} (0.33) + 0.67 \cdot lo g_{10} (0.67)

ln (x) + ln (x) + 3 ln (3 x)

lo g_{10} (\frac{2}{3})

What is 6log_{9}(x)-3log_{9}(y) ?
The solution to 6log_{9}(x)-3log_{9}(y) is log_{9}((x^6)/(y^3))