What is simplify-5log_{2}(x+1)+3log_{2}(6x) ?

The solution to simplify-5log_{2}(x+1)+3log_{2}(6x) is log_{2}((27x^3)/((x+1)^5))+3

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simplify-5log_{2}(x+1)+3log_{2}(6x)

simplify

- 5 lo g_{2} (x + 1) + 3 lo g_{2} (6 x)

lo g_{2} (\frac{27 x ^{3}}{( x + 1 ) ^{5}}) + 3

Solution steps

- 5 lo g_{2} (x + 1) + 3 lo g_{2} (6 x)

Simplify

3 lo g_{2} (6 x) : 3 + 3 lo g_{2} (3 x)

= - 5 lo g_{2} (x + 1) + 3 + 3 lo g_{2} (3 x)

- 5 lo g_{2} (x + 1) = - lo g_{2} ((x + 1)^{5})

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

= - lo g_{2} ((x + 1)^{5}) + 3 + lo g_{2} ((3 x)^{3})

Simplify

- lo g_{2} ((x + 1)^{5}) + lo g_{2} ((3 x)^{3}) : lo g_{2} (\frac{27 x ^{3}}{( x + 1 ) ^{5}})

= lo g_{2} (\frac{27 x ^{3}}{( x + 1 ) ^{5}}) + 3

\frac{1}{2} lo g_{2} (7)

2 ln (8) + 5 ln (z - 4)

lo g_{10} (6^{10})

- (\frac{1}{3}) lo g_{2} (\frac{1}{3}) - (\frac{2}{3}) lo g_{2} (\frac{2}{3})

ln (7 \cdot e^{x})

What is simplify-5log_{2}(x+1)+3log_{2}(6x) ?
The solution to simplify-5log_{2}(x+1)+3log_{2}(6x) is log_{2}((27x^3)/((x+1)^5))+3