What is ln(x^6-x)-ln(x^3+2) ?

The solution to ln(x^6-x)-ln(x^3+2) is ln((x^6-x)/(x^3+2))

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simplify ln(x^6-x)-ln(x^3+2)

simplify

ln (x^{6} - x) - ln (x^{3} + 2)

ln (\frac{x ^{6} - x}{x ^{3} + 2})

Solution steps

ln (x^{6} - x) - ln (x^{3} + 2)

Apply log rule:

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

ln (x^{6} - x) - ln (x^{3} + 2) = ln (\frac{x ^{6} - x}{x ^{3} + 2})

= ln (\frac{x ^{6} - x}{x ^{3} + 2})

\frac{ln ( 3 ) + ln ( h ) - ln ( 3 )}{h}

ln (x) + \frac{1}{2} ln (1 + u)

5 lo g_{5} (5 z + 1) + \frac{1}{2} lo g_{5} (z + 8)

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

- ln (4) + ln (3)

What is ln(x^6-x)-ln(x^3+2) ?
The solution to ln(x^6-x)-ln(x^3+2) is ln((x^6-x)/(x^3+2))