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

The solution to 2log_{10}(x)+4log_{10}(y) is log_{10}(x^2y^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} (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} (ab)

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

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

lo g_{10} (\frac{x ^{5}}{z y})

ln (x) - ln (12)

ln (x) - ln (17)

lo g_{5} (\frac{125}{x + 4})

lo g_{10} (m) + lo g_{10} (n) - lo g_{10} (p)

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