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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

2 ln (x) + ln (3)

lo g_{c} (c^{2}) - 2 lo g_{c} (c^{3})

\frac{1}{2} ln (x) + 4 ln (y) - 7 ln (z)

lo g_{4} (5) - lo g_{4} (7)

lo g_{7} ((\frac{u w}{v ^{4}})^{6})

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