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Popular >

simplify ln(x^2+2x-80)-ln(x-8)

Solution

simplify

ln (x^{2} + 2 x - 80) - ln (x - 8)

Solution

ln (x + 10)

Solution steps

ln (x^{2} + 2 x - 80) - ln (x - 8)

Apply log rule:

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

ln (x^{2} + 2 x - 80) - ln (x - 8) = ln (\frac{x ^{2} + 2 x - 80}{x - 8})

= ln (\frac{x ^{2} + 2 x - 80}{x - 8})

Simplify

\frac{x ^{2} + 2 x - 80}{x - 8} : x + 10

= ln (x + 10)

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Frequently Asked Questions (FAQ)

What is ln(x^2+2x-80)-ln(x-8) ?
The solution to ln(x^2+2x-80)-ln(x-8) is ln(x+10)