What is log_{10}((z^4)/5) ?

The solution to log_{10}((z^4)/5) is 4log_{10}(z)-log_{10}(5)

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simplify log_{10}((z^4)/5)

simplify

lo g_{10} (\frac{z ^{4}}{5})

4 lo g_{10} (z) - lo g_{10} (5)

Solution steps

lo g_{10} (\frac{z ^{4}}{5})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{z ^{4}}{5}) = lo g_{10} (z^{4}) - lo g_{10} (5)

= lo g_{10} (z^{4}) - lo g_{10} (5)

Simplify

lo g_{10} (z^{4}) : 4 lo g_{10} (z)

= 4 lo g_{10} (z) - lo g_{10} (5)

2 lo g_{3} (x) + 4 lo g_{3} (x - 1) + lo g_{3} (y)

- lo g_{10} (8.4 \cdot 1 0^{- 4})

lo g_{10} (\frac{x ^{2} y ^{18}}{z ^{8}})

ln (\frac{r}{2 s})

ln (\frac{3}{2}) - ln (\frac{2}{2})

What is log_{10}((z^4)/5) ?
The solution to log_{10}((z^4)/5) is 4log_{10}(z)-log_{10}(5)