What is expand log_{9}(zsqrt(x*y)) ?

The solution to expand log_{9}(zsqrt(x*y)) is log_{9}(z)+log_{9}(sqrt(xy))

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expand log_{9}(zsqrt(x*y))

expand

lo g_{9} (z x \cdot y)

lo g_{9} (z) + lo g_{9} (x y)

Solution steps

lo g_{9} (z x y)

Apply log rule:

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

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

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

lo g_{4} (10000 x)

ln (\frac{x ^{6} x ^{2} + 7}{( x + 7 ) ^{2}})

lo g_{3} (\frac{2 x}{x + 1})

2 (lo g_{2} (393) - lo g_{2} (7))

ln (6 x^{2})

What is expand log_{9}(zsqrt(x*y)) ?
The solution to expand log_{9}(zsqrt(x*y)) is log_{9}(z)+log_{9}(sqrt(xy))