What is ln(2x^2-2x-24)-ln(-2x-6) ?

The solution to ln(2x^2-2x-24)-ln(-2x-6) is ln(-x+4)

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simplify ln(2x^2-2x-24)-ln(-2x-6)

simplify

ln (2 x^{2} - 2 x - 24) - ln (- 2 x - 6)

ln (- x + 4)

Solution steps

ln (2 x^{2} - 2 x - 24) - ln (- 2 x - 6)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (2 x^{2} - 2 x - 24) - ln (- 2 x - 6) = ln (\frac{2 x ^{2} - 2 x - 24}{- 2 x - 6})

= ln (\frac{2 x ^{2} - 2 x - 24}{- 2 x - 6})

Simplify

\frac{2 x ^{2} - 2 x - 24}{- 2 x - 6} : - x + 4

= ln (- x + 4)

- \frac{5}{4} ln (\frac{0.05}{0.9})

9 lo g_{6} (x) + 18 lo g_{6} (y)

lo g_{e} (\frac{( a ^{m} \cdot b ^{n} )}{c})

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

(ln (90) - ln (95)) \cdot 100

What is ln(2x^2-2x-24)-ln(-2x-6) ?
The solution to ln(2x^2-2x-24)-ln(-2x-6) is ln(-x+4)