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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

lo g_{4} (\frac{64}{x + 8})

4 ln (x) + 2 ln (y) - 5 ln (z)

4 lo g_{3} (x) - \frac{1}{3} lo g_{3} (x + 6)

lo g_{a} (x) + lo g_{a} (y) - lo g_{a} (z)

lo g_{6} (\frac{16 x ^{2}}{2 x - 4})

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