What is 8log_{9}(x)+16log_{9}(y) ?

The solution to 8log_{9}(x)+16log_{9}(y) is log_{9}(x^8y^{16})

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simplify 8log_{9}(x)+16log_{9}(y)

simplify

8 lo g_{9} (x) + 16 lo g_{9} (y)

lo g_{9} (x^{8} y^{16})

Solution steps

8 lo g_{9} (x) + 16 lo g_{9} (y)

Apply log rule:

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

8 lo g_{9} (x) = lo g_{9} (x^{8})

= lo g_{9} (x^{8}) + 16 lo g_{9} (y)

Apply log rule:

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

16 lo g_{9} (y) = lo g_{9} (y^{16})

= lo g_{9} (x^{8}) + lo g_{9} (y^{16})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{9} (x^{8}) + lo g_{9} (y^{16}) = lo g_{9} (x^{8} y^{16})

= lo g_{9} (x^{8} y^{16})

\frac{1039}{2} lo g_{2} (1039)

ln (50) - ln (10)

ln (\frac{300}{187})

3 lo g_{b} (q) + 6 lo g_{b} (v)

ln ((0.6 e^{t} + 0.4)^{10} \cdot (0.4 e^{t} + 0.6)^{29})

What is 8log_{9}(x)+16log_{9}(y) ?
The solution to 8log_{9}(x)+16log_{9}(y) is log_{9}(x^8y^{16})