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})

ln (a e^{- k t})

- lo g_{10} (4.1 \cdot 1 0^{- 6})

ln (\frac{e ^{4 x}}{2})

ln (x) + 6 ln (2 (2)^{3})

ln (\frac{23}{1.3}) (8.314)

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