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Popular >

simplify ln(x^3-1)-ln(x^2+x+1)

Solution

simplify

ln (x^{3} - 1) - ln (x^{2} + x + 1)

Solution

ln (x - 1)

Solution steps

ln (x^{3} - 1) - ln (x^{2} + x + 1)

Apply log rule:

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

ln (x^{3} - 1) - ln (x^{2} + x + 1) = ln (\frac{x ^{3} - 1}{x ^{2} + x + 1})

= ln (\frac{x ^{3} - 1}{x ^{2} + x + 1})

Simplify

\frac{x ^{3} - 1}{x ^{2} + x + 1} : x - 1

= ln (x - 1)

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Frequently Asked Questions (FAQ)

What is ln(x^3-1)-ln(x^2+x+1) ?
The solution to ln(x^3-1)-ln(x^2+x+1) is ln(x-1)