What is ln^2(((2x+3)^2)/2) ?

The solution to ln^2(((2x+3)^2)/2) is 2ln^2(2x+3)-ln^2(2)

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simplify ln^2(((2x+3)^2)/2)

simplify

ln^{2} (\frac{( 2 x + 3 ) ^{2}}{2})

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

Solution steps

ln^{2} (\frac{( 2 x + 3 ) ^{2}}{2})

Apply log rule:

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

ln^{2} (\frac{( 2 x + 3 ) ^{2}}{2}) = ln^{2} ((2 x + 3)^{2}) - ln^{2} (2)

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

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

ln (- 3 e^{\frac{1}{3}})

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

ln (C e^{\frac{Q}{RT}})

What is ln^2(((2x+3)^2)/2) ?
The solution to ln^2(((2x+3)^2)/2) is 2ln^2(2x+3)-ln^2(2)