What is log_{10}(3x^4y^{-7}) ?

The solution to log_{10}(3x^4y^{-7}) is log_{10}(3)+4log_{10}(x)-7log_{10}(y)

Popular >

simplify log_{10}(3x^4y^{-7})

simplify

lo g_{10} (3 x^{4} y^{- 7})

lo g_{10} (3) + 4 lo g_{10} (x) - 7 lo g_{10} (y)

Solution steps

lo g_{10} (3 x^{4} y^{- 7})

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{10} (3 x^{4} y^{- 7}) = lo g_{10} (3) + lo g_{10} (x^{4}) + lo g_{10} (y^{- 7})

= lo g_{10} (3) + lo g_{10} (x^{4}) + lo g_{10} (y^{- 7})

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

lo g_{10} (y^{- 7}) = - 7 lo g_{10} (y)

= lo g_{10} (3) + 4 lo g_{10} (x) - 7 lo g_{10} (y)

lo g_{10} (r) - lo g_{10} (p) - lo g_{10} (q)

lo g_{4} (x z)

- \frac{3}{4} \cdot lo g_{2} (\frac{3}{4}) - \frac{1}{4} \cdot lo g_{2} (\frac{1}{4})

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

lo g_{10} (12 x^{4}) - lo g_{10} (4 x)

What is log_{10}(3x^4y^{-7}) ?
The solution to log_{10}(3x^4y^{-7}) is log_{10}(3)+4log_{10}(x)-7log_{10}(y)