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

The solution to expand log_{10}((y^2)/z) is 2log_{10}(y)-log_{10}(z)

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expand log_{10}((y^2)/z)

expand

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

2 lo g_{10} (y) - lo g_{10} (z)

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

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

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

Apply log rule:

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

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

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

lo g_{a} (ab)

\frac{1}{3} ln (12)

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