What is expand log_{10}((x^6)/(y^3)) ?

The solution to expand log_{10}((x^6)/(y^3)) is 6log_{10}(x)-3log_{10}(y)

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expand log_{10}((x^6)/(y^3))

expand

lo g_{10} (\frac{x ^{6}}{y ^{3}})

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

Solution steps

lo g_{10} (\frac{x ^{6}}{y ^{3}})

Apply log rule:

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

lo g_{10} (\frac{x ^{6}}{y ^{3}}) = lo g_{10} (x^{6}) - lo g_{10} (y^{3})

= lo g_{10} (x^{6}) - lo g_{10} (y^{3})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} (x^{6}) = 6 lo g_{10} (x)

= 6 lo g_{10} (x) - lo g_{10} (y^{3})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= 6 lo g_{10} (x) - 3 lo g_{10} (y)

ln (\frac{( 1 - n )}{n})

ln ∣ v + 1 ∣ - ln ∣ v - 1 ∣

ln (y) - ln (cos (x))

ln (θ (1 - θ)^{y})

- lo g_{10} (2.24 x 1 0^{- 3})

What is expand log_{10}((x^6)/(y^3)) ?
The solution to expand log_{10}((x^6)/(y^3)) is 6log_{10}(x)-3log_{10}(y)