What is expand log_{10}(2y^2) ?

The solution to expand log_{10}(2y^2) is log_{10}(2)+2log_{10}(y)

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expand log_{10}(2y^2)

expand

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

lo g_{10} (2) + 2 lo g_{10} (y)

Solution steps

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

Apply log rule:

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

lo g_{10} (2 y^{2}) = lo g_{10} (2) + lo g_{10} (y^{2})

= lo g_{10} (2) + lo g_{10} (y^{2})

Apply log rule:

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

lo g_{10} (y^{2}) = 2 lo g_{10} (y)

= lo g_{10} (2) + 2 lo g_{10} (y)

lo g_{9} (4 n p^{3})

lo g_{7} (\frac{u ^{3}}{v})

ln (6 x^{8})

\frac{1}{3} (2 ln (x) + ln (y) - 2 ln (z))

\frac{1}{2} ln (\frac{1 + sin ( x )}{1 - sin ( x )})

What is expand log_{10}(2y^2) ?
The solution to expand log_{10}(2y^2) is log_{10}(2)+2log_{10}(y)