What is expand log_{10}(yz^6) ?

The solution to expand log_{10}(yz^6) is log_{10}(y)+6log_{10}(z)

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expand log_{10}(yz^6)

expand

lo g_{10} (y z^{6})

lo g_{10} (y) + 6 lo g_{10} (z)

Solution steps

lo g_{10} (y z^{6})

Apply log rule:

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

lo g_{10} (y z^{6}) = lo g_{10} (y) + lo g_{10} (z^{6})

= lo g_{10} (y) + lo g_{10} (z^{6})

Apply log rule:

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

lo g_{10} (z^{6}) = 6 lo g_{10} (z)

= lo g_{10} (y) + 6 lo g_{10} (z)

lo g_{10} (3 x^{2} y)

ln (\frac{23}{0.22})

4 lo g_{10} (x) + lo g_{10} (x^{2}) - lo g_{10} (x^{4})

lo g_{9} (\frac{2 x ^{3}}{3})

\frac{1}{2} lo g_{a} (x) - 8 lo g_{a} (y) + lo g_{a} (z)

What is expand log_{10}(yz^6) ?
The solution to expand log_{10}(yz^6) is log_{10}(y)+6log_{10}(z)