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Popular >

simplify ln(x^2-4)-ln(x-2)

Solution

simplify

ln (x^{2} - 4) - ln (x - 2)

Solution

ln (x + 2)

Solution steps

ln (x^{2} - 4) - ln (x - 2)

Apply log rule:

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

ln (x^{2} - 4) - ln (x - 2) = ln (\frac{x ^{2} - 4}{x - 2})

= ln (\frac{x ^{2} - 4}{x - 2})

Simplify

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

= ln (x + 2)

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Frequently Asked Questions (FAQ)

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