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

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

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

simplify

lo g_{10} (\frac{( x ^{2} + 2 )}{( x ^{2} )})

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

Solution steps

lo g_{10} (\frac{x ^{2} + 2}{x ^{2}})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

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

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

Simplify

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

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

(- 6 a^{2})^{3}

(y - z) p + (2 - x) q - x - y

(2 a^{- 3} \cdot b^{2})^{3}

(2 x + 5)^{2} + (x - 3)^{3}

(a^{5})^{- 2}

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