What is log_{2}(x-4)+3log_{2}(x) ?

The solution to log_{2}(x-4)+3log_{2}(x) is log_{2}((x-4)x^3)

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simplify log_{2}(x-4)+3log_{2}(x)

simplify

lo g_{2} (x - 4) + 3 lo g_{2} (x)

lo g_{2} ((x - 4) x^{3})

Solution steps

lo g_{2} (x - 4) + 3 lo g_{2} (x)

Apply log rule:

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

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

= lo g_{2} (x - 4) + lo g_{2} (x^{3})

Apply log rule:

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

lo g_{2} (x - 4) + lo g_{2} (x^{3}) = lo g_{2} (x^{3} (x - 4))

= lo g_{2} ((x - 4) x^{3})

25 ln (\frac{6}{168})

- lo g_{10} (2.98 \cdot 1 0^{- 5})

9 lo g_{b} (x) + 4 lo g_{b} (z)

ln (\frac{1005 + 5}{1000})

ln (\frac{x}{1})

What is log_{2}(x-4)+3log_{2}(x) ?
The solution to log_{2}(x-4)+3log_{2}(x) is log_{2}((x-4)x^3)