What is ln(x^2+4)+ln(x^2+x) ?

The solution to ln(x^2+4)+ln(x^2+x) is ln((x^2+4)(x^2+x))

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simplify ln(x^2+4)+ln(x^2+x)

simplify

ln (x^{2} + 4) + ln (x^{2} + x)

ln ((x^{2} + 4) (x^{2} + x))

Solution steps

ln (x^{2} + 4) + ln (x^{2} + x)

Apply log rule:

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

ln (x^{2} + 4) + ln (x^{2} + x) = ln ((x^{2} + 4) (x^{2} + x))

= ln ((x^{2} + 4) (x^{2} + x))

ln (15) - 2 (ln (4) + ln (32))

ln (\frac{5}{4}) \cdot 25

ln (\frac{1}{0.15}) 0.1

\frac{1}{2} ln (30) + \frac{1}{2} ln (1 - \frac{1}{2})

5 lo g_{b} (x + 1) - 2 lo g_{b} (y)

What is ln(x^2+4)+ln(x^2+x) ?
The solution to ln(x^2+4)+ln(x^2+x) is ln((x^2+4)(x^2+x))