What is expand log_{9}(\sqrt[4]{(m^4)/(zc^3)}) ?

The solution to expand log_{9}(\sqrt[4]{(m^4)/(zc^3)}) is log_{9}(m)-1/4 log_{9}(c^3z)

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expand log_{9}(\sqrt[4]{(m^4)/(zc^3)})

expand

lo g_{9} (m) - \frac{1}{4} lo g_{9} (c^{3} z)

Solution steps

Apply log rule:

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

Simplify

lo g_{9} (c^{3} z) : lo g_{9} (z) + 3 lo g_{9} (c)

= lo g_{9} (m) - \frac{1}{4} (lo g_{9} (z) + 3 lo g_{9} (c))

lo g_{9} (z) + 3 lo g_{9} (c) = lo g_{9} (z c^{3})

= lo g_{9} (m) - \frac{1}{4} lo g_{9} (c^{3} z)

Simplify

lo g_{9} (c^{3} z) : lo g_{9} (z) + 3 lo g_{9} (c)

= lo g_{9} (m) - \frac{1}{4} (lo g_{9} (z) + 3 lo g_{9} (c))

lo g_{9} (z) + 3 lo g_{9} (c) = lo g_{9} (z c^{3})

= lo g_{9} (m) - \frac{1}{4} lo g_{9} (c^{3} z)

(- \frac{8}{3} - l) (- 10 - l) (- 1 - l) - 10 r

\frac{5 ( 200 3 + 119902 )}{49}

(x^{2} - \frac{1}{x})^{25}

(2 x^{2} - 3 x + 5) d x

∣ - 5 \times (1 + 3 ∣)

What is expand log_{9}(\sqrt[4]{(m^4)/(zc^3)}) ?
The solution to expand log_{9}(\sqrt[4]{(m^4)/(zc^3)}) is log_{9}(m)-1/4 log_{9}(c^3z)