What is expand log_{10}(zy^3) ?

The solution to expand log_{10}(zy^3) is log_{10}(z)+3log_{10}(y)

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expand log_{10}(zy^3)

expand

lo g_{10} (z y^{3})

lo g_{10} (z) + 3 lo g_{10} (y)

Solution steps

lo g_{10} (z y^{3})

Apply log rule:

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

lo g_{10} (z y^{3}) = lo g_{10} (z) + lo g_{10} (y^{3})

= lo g_{10} (z) + lo g_{10} (y^{3})

Apply log rule:

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

lo g_{10} (y^{3}) = 3 lo g_{10} (y)

= lo g_{10} (z) + 3 lo g_{10} (y)

\frac{1}{2} [ln (3) + 4 ln (x) - 2 ln (x - 1)]

\frac{( 0.5 ln ( 28 ) - ln ( 2 ) )}{0.5}

\frac{1}{2} ln (\frac{11}{3})

ln (\frac{1}{2}) - 2

ln (\frac{1}{2}) - 1

What is expand log_{10}(zy^3) ?
The solution to expand log_{10}(zy^3) is log_{10}(z)+3log_{10}(y)