What is 21log_{10}(x)+log_{10}(5) ?

The solution to 21log_{10}(x)+log_{10}(5) is log_{10}(x^{21}*5)

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simplify 21log_{10}(x)+log_{10}(5)

simplify

21 lo g_{10} (x) + lo g_{10} (5)

lo g_{10} (x^{21} \cdot 5)

Solution steps

21 lo g_{10} (x) + lo g_{10} (5)

Apply log rule:

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

21 lo g_{10} (x) = lo g_{10} (x^{21})

= lo g_{10} (x^{21}) + lo g_{10} (5)

Apply log rule:

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

lo g_{10} (x^{21}) + lo g_{10} (5) = lo g_{10} (5 x^{21})

= lo g_{10} (x^{21} \cdot 5)

- lo g_{10} (3 \cdot 1 0^{- 17})

ln (\frac{35}{2})

(3) (e^{0.6 x}) + 9 ln (2 x^{5}) + (8) cos (2 x) - 9

- ln (\frac{3.8}{16})

lo g_{e} (8) + lo g_{e} (70)

What is 21log_{10}(x)+log_{10}(5) ?
The solution to 21log_{10}(x)+log_{10}(5) is log_{10}(x^{21}*5)