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

The solution to expand log_{10}(ab^2) is log_{10}(a)+2log_{10}(b)

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expand log_{10}(ab^2)

expand

lo g_{10} (a b^{2})

lo g_{10} (a) + 2 lo g_{10} (b)

Solution steps

lo g_{10} (a b^{2})

Apply log rule:

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

lo g_{10} (a b^{2}) = lo g_{10} (a) + lo g_{10} (b^{2})

= lo g_{10} (a) + lo g_{10} (b^{2})

Apply log rule:

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

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

= lo g_{10} (a) + 2 lo g_{10} (b)

ln (x^{6} y^{3})

lo g_{10} (\frac{y ^{2}}{z})

lo g_{5} (\frac{1}{25} a^{3} b^{2})

lo g_{9} ((\frac{u ^{4}}{w})^{4})

3 lo g_{10} (x) - lo g_{10} (\frac{1}{x})

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