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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

ln (\frac{97}{11})

ln (\frac{2 x ^{2} y}{x ^{4} + y ^{2}})

ln (\frac{1 + 2 x}{1 - 2 x})

lo g_{10} (32) + lo g_{10} (\frac{1}{8})

5 lo g_{10} (2) + 4 lo g_{10} (x)

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