What is log_{10}(z/(x^9)) ?

The solution to log_{10}(z/(x^9)) is log_{10}(z)-9log_{10}(x)

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simplify log_{10}(z/(x^9))

simplify

lo g_{10} (\frac{z}{x ^{9}})

lo g_{10} (z) - 9 lo g_{10} (x)

Solution steps

lo g_{10} (\frac{z}{x ^{9}})

Apply log rule:

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

lo g_{10} (\frac{z}{x ^{9}}) = lo g_{10} (z) - lo g_{10} (x^{9})

= lo g_{10} (z) - lo g_{10} (x^{9})

Simplify

lo g_{10} (x^{9}) : 9 lo g_{10} (x)

= lo g_{10} (z) - 9 lo g_{10} (x)

lo g_{3} (\frac{243}{x - 4})

ln (x^{2} 3 x - 2)

lo g_{3} (\frac{9}{x + 8})

lo g_{10} (a^{2}) + lo g_{10} (b) - lo g_{10} (a)

ln (7 x (cos (x))^{\frac{x}{2}})

What is log_{10}(z/(x^9)) ?
The solution to log_{10}(z/(x^9)) is log_{10}(z)-9log_{10}(x)