What is log_{10}(((x+2)^2)/(x-1)) ?

The solution to log_{10}(((x+2)^2)/(x-1)) is 2log_{10}(x+2)-log_{10}(x-1)

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simplify log_{10}(((x+2)^2)/(x-1))

simplify

lo g_{10} (\frac{( x + 2 ) ^{2}}{x - 1})

2 lo g_{10} (x + 2) - lo g_{10} (x - 1)

Solution steps

lo g_{10} (\frac{( x + 2 ) ^{2}}{x - 1})

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 - 1}) = lo g_{10} ((x + 2)^{2}) - lo g_{10} (x - 1)

= lo g_{10} ((x + 2)^{2}) - lo g_{10} (x - 1)

Simplify

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

= 2 lo g_{10} (x + 2) - lo g_{10} (x - 1)

ln (x^{5} 4 - x)

\frac{1}{2} lo g_{10} (x + 3) + \frac{1}{2} lo g_{10} (x + 2)

0.19 - \frac{8.314 \cdot 298}{96500} ln (\frac{x}{2})

lo g_{4} (3^{2}) - lo g_{4} (5) + 2 lo g_{4} (10)

What is log_{10}(((x+2)^2)/(x-1)) ?
The solution to log_{10}(((x+2)^2)/(x-1)) is 2log_{10}(x+2)-log_{10}(x-1)