What is factor ln(x^2+3)+2ln(x)+C ?

The solution to factor ln(x^2+3)+2ln(x)+C is ln((x^2+3)x^2)+C

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factor ln(x^2+3)+2ln(x)+C

factor

ln (x^{2} + 3) + 2 ln (x) + C

ln ((x^{2} + 3) x^{2}) + C

Solution steps

ln (x^{2} + 3) + 2 ln (x) + C

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (x) = ln (x^{2})

= ln (x^{2} + 3) + ln (x^{2}) + C

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (x^{2} + 3) + ln (x^{2}) = ln (x^{2} (x^{2} + 3))

= ln ((x^{2} + 3) x^{2}) + C

3 lo g_{b} (y) + 7 lo g_{b} (z)

ln (\frac{1}{23})

9 \cdot ln (8) - ln (2!) + 7 \cdot ln (2) - ln (7!) - 3 \cdot 8

3 lo g_{b} (z) + 2 (lo g_{b} (y) - 5 lo g_{b} (x))

- \frac{( 8.314 \cdot 298 )}{96485} ln (\frac{0.002}{4})

What is factor ln(x^2+3)+2ln(x)+C ?
The solution to factor ln(x^2+3)+2ln(x)+C is ln((x^2+3)x^2)+C