What is log_{10}(39284x^{-1.799}) ?

The solution to log_{10}(39284x^{-1.799}) is log_{10}(39284)-1.799log_{10}(x)

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simplify log_{10}(39284x^{-1.799})

simplify

lo g_{10} (39284 x^{- 1.799})

lo g_{10} (39284) - 1.799 lo g_{10} (x)

Solution steps

lo g_{10} (39284 x^{- 1.799})

Simplify

39284 x^{- 1.799} : \frac{39284}{x ^{1.799}}

= lo g_{10} (\frac{39284}{x ^{1.799}})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{39284}{x ^{1.799}}) = lo g_{10} (39284) - lo g_{10} (x^{1.799})

= lo g_{10} (39284) - lo g_{10} (x^{1.799})

Simplify

lo g_{10} (x^{1.799}) : 1.799 lo g_{10} (x)

= lo g_{10} (39284) - 1.799 lo g_{10} (x)

lo g_{10} (\frac{4 ( 8 + x ) ^{2}}{x ^{5}})

ln (5) + \frac{1}{3} ln (27)

ln (e (x - 2))

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

lo g_{6} (x - 3) + lo g_{6} (x)

What is log_{10}(39284x^{-1.799}) ?
The solution to log_{10}(39284x^{-1.799}) is log_{10}(39284)-1.799log_{10}(x)