What is 6x^2(x^3+4)+ln(2x)+1 ?

The solution to 6x^2(x^3+4)+ln(2x)+1 is 6x^2(x^3+4)+ln(2)+ln(x)+1

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simplify 6x^2(x^3+4)+ln(2x)+1

simplify

6 x^{2} (x^{3} + 4) + ln (2 x) + 1

6 x^{2} (x^{3} + 4) + ln (2) + ln (x) + 1

Solution steps

6 x^{2} (x^{3} + 4) + ln (2 x) + 1

Apply log rule:

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

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

= 6 x^{2} (x^{3} + 4) + ln (2) + ln (x) + 1

lo g_{10} (\frac{x ^{2}}{4 y ^{3}})

ln (\frac{3 \cdot x ^{4}}{y})

ln (\frac{3}{2}) - ln (2)

lo g_{3} (\frac{9 x}{y ^{2}})

What is 6x^2(x^3+4)+ln(2x)+1 ?
The solution to 6x^2(x^3+4)+ln(2x)+1 is 6x^2(x^3+4)+ln(2)+ln(x)+1