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Popular >

simplify ln(x^2-81)-ln(x+9)

Solution

simplify

ln (x^{2} - 81) - ln (x + 9)

Solution

ln (x - 9)

Solution steps

ln (x^{2} - 81) - ln (x + 9)

Apply log rule:

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

ln (x^{2} - 81) - ln (x + 9) = ln (\frac{x ^{2} - 81}{x + 9})

= ln (\frac{x ^{2} - 81}{x + 9})

Simplify

\frac{x ^{2} - 81}{x + 9} : x - 9

= ln (x - 9)

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Frequently Asked Questions (FAQ)

What is ln(x^2-81)-ln(x+9) ?
The solution to ln(x^2-81)-ln(x+9) is ln(x-9)