What is ln(x^3+8)-ln(6x^3+17x) ?

The solution to ln(x^3+8)-ln(6x^3+17x) is ln((x^3+8)/(6x^3+17x))

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simplify ln(x^3+8)-ln(6x^3+17x)

simplify

ln (x^{3} + 8) - ln (6 x^{3} + 17 x)

ln (\frac{x ^{3} + 8}{6 x ^{3} + 17 x})

Solution steps

ln (x^{3} + 8) - ln (6 x^{3} + 17 x)

Apply log rule:

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

ln (x^{3} + 8) - ln (6 x^{3} + 17 x) = ln (\frac{x ^{3} + 8}{6 x ^{3} + 17 x})

= ln (\frac{x ^{3} + 8}{6 x ^{3} + 17 x})

\frac{1}{3} ln (\frac{47}{73})

ln (2^{3} + 4) - ln (8 \cdot (2)^{3} + 15 (2))

3 \cdot \frac{- 2 ln ( 11 ) + 4 ln ( 3 )}{20}

14 + lo g_{10} (\frac{0.118}{5})

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

What is ln(x^3+8)-ln(6x^3+17x) ?
The solution to ln(x^3+8)-ln(6x^3+17x) is ln((x^3+8)/(6x^3+17x))