What is 2log_{10}(x)-4log_{10}(y) ?

The solution to 2log_{10}(x)-4log_{10}(y) is log_{10}((x^2)/(y^4))

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simplify 2log_{10}(x)-4log_{10}(y)

simplify

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

lo g_{10} (\frac{x ^{2}}{y ^{4}})

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 lo g_{10} (x) = lo g_{10} (x^{2})

= lo g_{10} (x^{2}) - 4 lo g_{10} (y)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

= lo g_{10} (x^{2}) - lo g_{10} (y^{4})

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{10} (x^{2}) - lo g_{10} (y^{4}) = lo g_{10} (\frac{x ^{2}}{y ^{4}})

= lo g_{10} (\frac{x ^{2}}{y ^{4}})

- lo g_{10} (6.3 \cdot 1 0^{- 3})

lo g_{2} (12 x^{5} y^{- 2})

lo g_{10} (B^{- 5})

x^{3} y^{3} z^{3} + ln (y^{5} z^{4})

lo g_{7} (49 x yz)

What is 2log_{10}(x)-4log_{10}(y) ?
The solution to 2log_{10}(x)-4log_{10}(y) is log_{10}((x^2)/(y^4))