What is log^2_{10}(x)+log_{10}(x)-2 ?

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

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simplify log^2_{10}(x)+log_{10}(x)-2

simplify

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

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

Solution steps

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

Apply log rule:

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

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

= lo g_{10}^{2} (xx) - 2

Simplify

xx : x^{2}

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

ln (\frac{e ^{x}}{3} cos (8 x^{2}) (1 - 3 x)^{\frac{2}{3}})

\frac{1}{2} ln (\frac{( 1 + 885 )}{( 1 - 885 )})

2 ln (x) + ln (\frac{y}{x}) + c

ln (\frac{2 ^{\frac{3}{4}}}{2})

- ln (4 e^{- 8})

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