What is ln(x^2-7)-ln(x+6)-3 ?

The solution to ln(x^2-7)-ln(x+6)-3 is ln((x^2-7)/(x+6))-3

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simplify ln(x^2-7)-ln(x+6)-3

simplify

ln (x^{2} - 7) - ln (x + 6) - 3

ln (\frac{x ^{2} - 7}{x + 6}) - 3

Solution steps

ln (x^{2} - 7) - ln (x + 6) - 3

Apply log rule:

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

ln (x^{2} - 7) - ln (x + 6) = ln (\frac{x ^{2} - 7}{x + 6})

= ln (\frac{x ^{2} - 7}{x + 6}) - 3

lo g_{5} (x - 2) + lo g_{5} (3 x + 7)

\frac{1}{2} ln (x + 3) - ln (x)

ln (9 e^{x})

2 (lo g_{6} (x) + 2 lo g_{6} (y) - 3 lo g_{6} (z))

\frac{1}{3} (3 ln (x + 4) + ln (x) - ln (x^{2} - 5))

What is ln(x^2-7)-ln(x+6)-3 ?
The solution to ln(x^2-7)-ln(x+6)-3 is ln((x^2-7)/(x+6))-3