What is 3log_{10}(x)+2log_{10}(y) ?

The solution to 3log_{10}(x)+2log_{10}(y) is log_{10}(x^3y^2)

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simplify 3log_{10}(x)+2log_{10}(y)

simplify

3 lo g_{10} (x) + 2 lo g_{10} (y)

lo g_{10} (x^{3} y^{2})

Solution steps

3 lo g_{10} (x) + 2 lo g_{10} (y)

Apply log rule:

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

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

= lo g_{10} (x^{3}) + 2 lo g_{10} (y)

Apply log rule:

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

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

= lo g_{10} (x^{3}) + lo g_{10} (y^{2})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{10} (x^{3}) + lo g_{10} (y^{2}) = lo g_{10} (x^{3} y^{2})

= lo g_{10} (x^{3} y^{2})

lo g_{5} (8) - lo g_{5} (t)

- lo g_{b} (\frac{1}{4})

lo g_{10} (12) - lo g_{10} (3)

lo g_{7} (\frac{7}{y})

ln (a + b) + ln (a - b) - 3 ln (c)

What is 3log_{10}(x)+2log_{10}(y) ?
The solution to 3log_{10}(x)+2log_{10}(y) is log_{10}(x^3y^2)