What is ln(a+sqrt(a^2+4))-Cln(a+2)-ln(2)+Cln(2) ?

The solution to ln(a+sqrt(a^2+4))-Cln(a+2)-ln(2)+Cln(2) is ln((a+sqrt(a^2+4))/2)-Cln(a+2)+Cln(2)

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simplify ln(a+sqrt(a^2+4))-Cln(a+2)-ln(2)+Cln(2)

simplify

ln (a + a^{2} + 4) - C ln (a + 2) - ln (2) + C ln (2)

ln (\frac{a + a ^{2} + 4}{2}) - C ln (a + 2) + C ln (2)

Solution steps

ln (a + a^{2} + 4) - C ln (a + 2) - ln (2) + C ln (2)

Apply log rule:

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

ln (a + a^{2} + 4) - ln (2) = ln (\frac{a + a ^{2} + 4}{2})

= ln (\frac{a + a ^{2} + 4}{2}) - C ln (a + 2) + C ln (2)

ln (1 \cdot 1 0^{7})

2 lo g_{6} (z) - \frac{1}{4} lo g_{6} (w) + 6 lo g_{6} (y)

- 3 ln (2) + ln (3)

lo g_{2} (x^{9})

ln (\frac{6}{10})

What is ln(a+sqrt(a^2+4))-Cln(a+2)-ln(2)+Cln(2) ?
The solution to ln(a+sqrt(a^2+4))-Cln(a+2)-ln(2)+Cln(2) is ln((a+sqrt(a^2+4))/2)-Cln(a+2)+Cln(2)