What is log_{1/3}((x^2-x-6)/2)+x+1 ?

The solution to log_{1/3}((x^2-x-6)/2)+x+1 is -log_{3}(x^2-x-6)+log_{3}(2)+x+1

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simplify log_{1/3}((x^2-x-6)/2)+x+1

simplify

lo g_{\frac{1}{3}} (\frac{x ^{2} - x - 6}{2}) + x + 1

- lo g_{3} (x^{2} - x - 6) + lo g_{3} (2) + x + 1

Solution steps

lo g_{\frac{1}{3}} (\frac{x ^{2} - x - 6}{2}) + x + 1

Simplify

lo g_{\frac{1}{3}} (\frac{x ^{2} - x - 6}{2}) : - lo g_{3} (x^{2} - x - 6) + lo g_{3} (2)

= - lo g_{3} (x^{2} - x - 6) + lo g_{3} (2) + x + 1

lo g_{10} (r^{2} s) - lo g_{10} (r s^{2}) + 1

lo g_{5} (x^{2}) - lo g_{5} (2)

lo g_{3} (\frac{1}{2}) - lo g_{9} (\frac{1}{2})

lo g_{2} (\frac{i}{j s})

ln (\frac{u}{3} + 1) - ln (\frac{u}{3} - 1)

What is log_{1/3}((x^2-x-6)/2)+x+1 ?
The solution to log_{1/3}((x^2-x-6)/2)+x+1 is -log_{3}(x^2-x-6)+log_{3}(2)+x+1