What is log_{10}(y)+5log_{10}(z) ?

The solution to log_{10}(y)+5log_{10}(z) is log_{10}(yz^5)

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simplify log_{10}(y)+5log_{10}(z)

simplify

lo g_{10} (y) + 5 lo g_{10} (z)

lo g_{10} (y z^{5})

Solution steps

lo g_{10} (y) + 5 lo g_{10} (z)

Apply log rule:

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

5 lo g_{10} (z) = lo g_{10} (z^{5})

= lo g_{10} (y) + lo g_{10} (z^{5})

Apply log rule:

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

lo g_{10} (y) + lo g_{10} (z^{5}) = lo g_{10} (y z^{5})

= lo g_{10} (y z^{5})

lo g_{x} (\frac{7}{10})

- lo g_{10} (2.2 \cdot 1 0^{- 10})

lo g_{10} (x^{4})

lo g_{b} (\frac{p ^{2} q ^{7}}{m ^{4} b ^{9}})

2 ln ∣ cot (x) ∣ + 2 ln ∣ sin (x) ∣

What is log_{10}(y)+5log_{10}(z) ?
The solution to log_{10}(y)+5log_{10}(z) is log_{10}(yz^5)