What is expand ln((7x^3+3)^{cos(x)}) ?

The solution to expand ln((7x^3+3)^{cos(x)}) is cos(x)ln(7x^3+3)

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expand ln((7x^3+3)^{cos(x)})

expand

ln ((7 x^{3} + 3)^{c o s (x)})

cos (x) ln (7 x^{3} + 3)

Solution steps

ln ((7 x^{3} + 3)^{c o s (x)})

Apply log rule:

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

ln ((7 x^{3} + 3)^{c o s (x)}) = cos (x) ln (7 x^{3} + 3)

= cos (x) ln (7 x^{3} + 3)

lo g_{10} ((\frac{u ^{6}}{v})^{4})

ln (x - 4) [ln (x - 5) + ln (x + 5)]

ln (\frac{10}{12})

- ln (\frac{7163}{7})

c \cdot e^{40 \cdot (\frac{1}{20} \cdot l n (\frac{19}{20})) = 39}

What is expand ln((7x^3+3)^{cos(x)}) ?
The solution to expand ln((7x^3+3)^{cos(x)}) is cos(x)ln(7x^3+3)