What is expand log_{4}(xy^6z^4) ?

The solution to expand log_{4}(xy^6z^4) is log_{4}(x)+6log_{4}(y)+4log_{4}(z)

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expand log_{4}(xy^6z^4)

expand

lo g_{4} (x y^{6} z^{4})

lo g_{4} (x) + 6 lo g_{4} (y) + 4 lo g_{4} (z)

Solution steps

lo g_{4} (x y^{6} z^{4})

Apply log rule:

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

lo g_{4} (x y^{6} z^{4}) = lo g_{4} (x) + lo g_{4} (y^{6}) + lo g_{4} (z^{4})

= lo g_{4} (x) + lo g_{4} (y^{6}) + lo g_{4} (z^{4})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{4} (y^{6}) = 6 lo g_{4} (y)

= lo g_{4} (x) + 6 lo g_{4} (y) + lo g_{4} (z^{4})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{4} (z^{4}) = 4 lo g_{4} (z)

= lo g_{4} (x) + 6 lo g_{4} (y) + 4 lo g_{4} (z)

lo g_{11} (\frac{x y}{z t})

lo g_{10} (m) + lo g_{10} (n) + lo g_{10} (p)

6 lo g_{b} (x) + 3 lo g_{b} (z)

lo g_{4} (x) + lo g_{4} (x + 1)

\frac{- ln ( \frac{a}{P} - b ) + ln ( \frac{a}{P _{0}} - b )}{a}

What is expand log_{4}(xy^6z^4) ?
The solution to expand log_{4}(xy^6z^4) is log_{4}(x)+6log_{4}(y)+4log_{4}(z)