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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

- ln (10 \cdot 1 0^{- 6})

ln (9) + 4 ln (2)

ln (x^{2} + 2 x + 1) - ln (x + 1)

lo g_{b} (0.44) + lo g_{b} (0.89)

3 ln (u) - 2 ln (5)

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