What is log_{10}(y/(z^6)) ?

The solution to log_{10}(y/(z^6)) is log_{10}(y)-6log_{10}(z)

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simplify log_{10}(y/(z^6))

simplify

lo g_{10} (\frac{y}{z ^{6}})

lo g_{10} (y) - 6 lo g_{10} (z)

Solution steps

lo g_{10} (\frac{y}{z ^{6}})

Apply log rule:

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

lo g_{10} (\frac{y}{z ^{6}}) = lo g_{10} (y) - lo g_{10} (z^{6})

= lo g_{10} (y) - lo g_{10} (z^{6})

Simplify

lo g_{10} (z^{6}) : 6 lo g_{10} (z)

= lo g_{10} (y) - 6 lo g_{10} (z)

2 lo g_{b} (x) + 6 lo g_{b} (z)

lo g_{2} (\frac{( 2 x ^{6} )}{y})

lo g_{a} (x^{2} - 4) - lo g_{a} (x - 2)

lo g_{4} (\frac{5 x}{y})

lo g_{10} (1000000 y)

What is log_{10}(y/(z^6)) ?
The solution to log_{10}(y/(z^6)) is log_{10}(y)-6log_{10}(z)