What is log_{10}((3x^3)/y) ?

The solution to log_{10}((3x^3)/y) is log_{10}(3)+3log_{10}(x)-log_{10}(y)

Popular >

simplify log_{10}((3x^3)/y)

simplify

lo g_{10} (\frac{3 x ^{3}}{y})

lo g_{10} (3) + 3 lo g_{10} (x) - lo g_{10} (y)

Solution steps

lo g_{10} (\frac{3 x ^{3}}{y})

Apply log rule:

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

lo g_{10} (\frac{3 x ^{3}}{y}) = lo g_{10} (3 x^{3}) - lo g_{10} (y)

= lo g_{10} (3 x^{3}) - lo g_{10} (y)

Simplify

lo g_{10} (3 x^{3}) : lo g_{10} (3) + 3 lo g_{10} (x)

= lo g_{10} (3) + 3 lo g_{10} (x) - lo g_{10} (y)

3 lo g_{10} (8) + lo g_{10} (9) - lo g_{10} (36)

lo g_{3} (x^{3} y^{4})

lo g_{10} (6) (k^{2} - 36) - lo g_{10} (6 k) - 6

lo g_{10} (z) - lo g_{10} (2 y)

\frac{1}{2} lo g_{10} (2 x) - \frac{5}{2} lo g_{10} (y)

What is log_{10}((3x^3)/y) ?
The solution to log_{10}((3x^3)/y) is log_{10}(3)+3log_{10}(x)-log_{10}(y)