What is log_{10}(y)+3log_{10}(z) ?

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

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simplify log_{10}(y)+3log_{10}(z)

simplify

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

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

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

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

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

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

ln (\frac{7}{2})

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

lo g_{b} (\frac{x ^{2} y}{z ^{5}})

lo g_{2} (3) + lo g_{2} (10)

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