What is log_{10}(2)+2log_{10}(n) ?

The solution to log_{10}(2)+2log_{10}(n) is log_{10}(2n^2)

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simplify log_{10}(2)+2log_{10}(n)

simplify

lo g_{10} (2) + 2 lo g_{10} (n)

lo g_{10} (2 n^{2})

Solution steps

lo g_{10} (2) + 2 lo g_{10} (n)

Apply log rule:

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

2 lo g_{10} (n) = lo g_{10} (n^{2})

= lo g_{10} (2) + lo g_{10} (n^{2})

Apply log rule:

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

lo g_{10} (2) + lo g_{10} (n^{2}) = lo g_{10} (2 n^{2})

= lo g_{10} (2 n^{2})

ln (\frac{( x + 1 ) ^{2}}{x ^{2} + 1})

ln (\frac{x ^{4} + y ^{4}}{x ^{4}})

ln (y^{2} + 2) - ln (y^{2} - 2)

- lo g_{10} (3.37 \cdot 1 0^{- 6})

ln ((3 x + 2)^{x s i n (x)})

What is log_{10}(2)+2log_{10}(n) ?
The solution to log_{10}(2)+2log_{10}(n) is log_{10}(2n^2)