What is 5log_{10}(x)+log_{10}(7) ?

The solution to 5log_{10}(x)+log_{10}(7) is log_{10}(x^5*7)

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simplify 5log_{10}(x)+log_{10}(7)

simplify

5 lo g_{10} (x) + lo g_{10} (7)

lo g_{10} (x^{5} \cdot 7)

Solution steps

5 lo g_{10} (x) + lo g_{10} (7)

Apply log rule:

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

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

= lo g_{10} (x^{5}) + lo g_{10} (7)

Apply log rule:

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

lo g_{10} (x^{5}) + lo g_{10} (7) = lo g_{10} (7 x^{5})

= lo g_{10} (x^{5} \cdot 7)

ln (\frac{y ^{2}}{x ^{2}})

- lo g_{10} (4.907 \cdot 1 0^{- 3})

ln (\frac{a}{b + c})

- lo g_{10} (1.6 \cdot 1 0^{- 11})

lo g_{e} (\frac{e ^{- y} y ^{x}}{x !})

What is 5log_{10}(x)+log_{10}(7) ?
The solution to 5log_{10}(x)+log_{10}(7) is log_{10}(x^5*7)