What is log_{10}(y)+2log_{10}(z) ?

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

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simplify log_{10}(y)+2log_{10}(z)

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

lo g_{10} (\frac{x ^{33} y ^{20}}{z ^{36}})

- lo g_{10} (1.76 \times 1 0^{- 5})

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

lo g_{b} (\frac{1}{10}) + lo g_{b} (20)

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

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