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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

lo g_{10} (3) + 2 lo g_{10} (5)

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

10 lo g_{10} (\frac{x}{1 0 ^{- 12}})

ln (x) + ln (2 - x)

ln (n + 1) - ln (n)

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