What is ln(x^2+1)(ln(4x^2+6)-ln(x^4+1)) ?

The solution to ln(x^2+1)(ln(4x^2+6)-ln(x^4+1)) is ln(x^2+1)ln((4x^2+6)/(x^4+1))

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simplify ln(x^2+1)(ln(4x^2+6)-ln(x^4+1))

simplify

ln (x^{2} + 1) (ln (4 x^{2} + 6) - ln (x^{4} + 1))

ln (x^{2} + 1) ln (\frac{4 x ^{2} + 6}{x ^{4} + 1})

Solution steps

ln (x^{2} + 1) (ln (4 x^{2} + 6) - ln (x^{4} + 1))

Apply log rule:

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

ln (4 x^{2} + 6) - ln (x^{4} + 1) = ln (\frac{4 x ^{2} + 6}{x ^{4} + 1})

= ln (x^{2} + 1) ln (\frac{4 x ^{2} + 6}{x ^{4} + 1})

ln (a) - 3 ln (b) + 4 ln (c)

lo g_{9} ((z x y)^{3})

2 lo g_{\frac{8}{5}} (5)

- lo g_{10} (1.3 \cdot 1 0^{- 10})

ln (5) - 2 (ln (4) + ln (32))

What is ln(x^2+1)(ln(4x^2+6)-ln(x^4+1)) ?
The solution to ln(x^2+1)(ln(4x^2+6)-ln(x^4+1)) is ln(x^2+1)ln((4x^2+6)/(x^4+1))