What is 8x^3+3ln(2x)+3e^x+6 ?

The solution to 8x^3+3ln(2x)+3e^x+6 is 8x^3+3ln(2)+3ln(x)+3e^x+6

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simplify 8x^3+3ln(2x)+3e^x+6

simplify

8 x^{3} + 3 ln (2 x) + 3 e^{x} + 6

8 x^{3} + 3 ln (2) + 3 ln (x) + 3 e^{x} + 6

Solution steps

8 x^{3} + 3 ln (2 x) + 3 e^{x} + 6

Apply log rule:

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

3 ln (2 x) = 3 ln (2) + 3 ln (x)

= 8 x^{3} + 3 ln (2) + 3 ln (x) + 3 e^{x} + 6

\frac{1}{4 - 2} ln (\frac{4}{2})

2 lo g_{10} (2)

ln (\frac{1}{2 t ^{3}})

- ln (\frac{1000 - x}{9 x})

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

What is 8x^3+3ln(2x)+3e^x+6 ?
The solution to 8x^3+3ln(2x)+3e^x+6 is 8x^3+3ln(2)+3ln(x)+3e^x+6