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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

ln (\frac{x ^{2} 4 x + 1}{( x ^{3} + 5 ) ^{3}})

ln (x^{2} (x + 2)^{2})

lo g_{8} (8 x)

10 lo g_{10} (\frac{x}{6})

lo g_{10} (\frac{4 z}{7})

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