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Popular >

simplify ln(x^2-16)-ln(x+4)

Solution

simplify

ln (x^{2} - 16) - ln (x + 4)

Solution

ln (x - 4)

Solution steps

ln (x^{2} - 16) - ln (x + 4)

Apply log rule:

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

ln (x^{2} - 16) - ln (x + 4) = ln (\frac{x ^{2} - 16}{x + 4})

= ln (\frac{x ^{2} - 16}{x + 4})

Simplify

\frac{x ^{2} - 16}{x + 4} : x - 4

= ln (x - 4)

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Frequently Asked Questions (FAQ)

What is ln(x^2-16)-ln(x+4) ?
The solution to ln(x^2-16)-ln(x+4) is ln(x-4)