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

The solution to log_{10}(X)+2log_{10}(y) is log_{10}(Xy^2)

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simplify log_{10}(X)+2log_{10}(y)

simplify

lo g_{10} (X) + 2 lo g_{10} (y)

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

Solution steps

lo g_{10} (X) + 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) + lo g_{10} (y^{2})

Apply log rule:

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

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

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

ln (5) + 2 ln (2)

ln (e^{- y} cos (y) d y)

lo g_{2} (\frac{1}{100})

- lo g_{10} (9 \cdot 1 0^{- 5})

x + ln (x) + ln (2)

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