What is ln^5(3x)+\sqrt[4]{cos^3(5x^2+1)} ?

The solution to ln^5(3x)+\sqrt[4]{cos^3(5x^2+1)} is ln^5(3)+ln^5(x)+\sqrt[4]{cos^3(5x^2+1)}

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simplify ln^5(3x)+\sqrt[4]{cos^3(5x^2+1)}

simplify

Solution steps

Apply log rule:

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

ln^{5} (3 x) = ln^{5} (3) + ln^{5} (x)

6 lo g_{10} (x - 2) - 5 lo g_{10} (x)

ln (40) + 2 ln (\frac{1}{2}) + ln (y)

5 ln (6) - 5 ln (2)

ln (\frac{0.025 m ^{3}}{0.016 m ^{3}})

What is ln^5(3x)+\sqrt[4]{cos^3(5x^2+1)} ?
The solution to ln^5(3x)+\sqrt[4]{cos^3(5x^2+1)} is ln^5(3)+ln^5(x)+\sqrt[4]{cos^3(5x^2+1)}