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Popular >

simplify ln(x^2+9x+18)-ln(x+6)

Solution

simplify

ln (x^{2} + 9 x + 18) - ln (x + 6)

Solution

ln (x + 3)

Solution steps

ln (x^{2} + 9 x + 18) - ln (x + 6)

Apply log rule:

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

ln (x^{2} + 9 x + 18) - ln (x + 6) = ln (\frac{x ^{2} + 9 x + 18}{x + 6})

= ln (\frac{x ^{2} + 9 x + 18}{x + 6})

Simplify

\frac{x ^{2} + 9 x + 18}{x + 6} : x + 3

= ln (x + 3)

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Frequently Asked Questions (FAQ)

What is ln(x^2+9x+18)-ln(x+6) ?
The solution to ln(x^2+9x+18)-ln(x+6) is ln(x+3)