What is log_{sqrt(3)}((x^2-14x+24)/4)-5x+2 ?

The solution to log_{sqrt(3)}((x^2-14x+24)/4)-5x+2 is 2log_{3}(x^2-14x+24)-4log_{3}(2)-5x+2

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simplify log_{sqrt(3)}((x^2-14x+24)/4)-5x+2

simplify

lo g_{3} (\frac{x ^{2} - 14 x + 24}{4}) - 5 x + 2

2 lo g_{3} (x^{2} - 14 x + 24) - 4 lo g_{3} (2) - 5 x + 2

Solution steps

lo g_{3} (\frac{x ^{2} - 14 x + 24}{4}) - 5 x + 2

Simplify

lo g_{3} (\frac{x ^{2} - 14 x + 24}{4}) : 2 lo g_{3} (x^{2} - 14 x + 24) - 4 lo g_{3} (2)

= 2 lo g_{3} (x^{2} - 14 x + 24) - 4 lo g_{3} (2) - 5 x + 2

2 ln (x) + 7 ln (y) - 3 ln (z)

ln (3) + 2 ln (x)

lo g_{9} (4) - lo g_{9} (7)

lo g_{2} (\frac{2 a ^{3}}{b})

\frac{1}{2} lo g_{a} (8 x^{2}) - \frac{1}{6} lo g_{a} (8 x^{3})

What is log_{sqrt(3)}((x^2-14x+24)/4)-5x+2 ?
The solution to log_{sqrt(3)}((x^2-14x+24)/4)-5x+2 is 2log_{3}(x^2-14x+24)-4log_{3}(2)-5x+2