What is expand ln((3x+2)^{xsin(x)}) ?

The solution to expand ln((3x+2)^{xsin(x)}) is xsin(x)ln(3x+2)

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expand ln((3x+2)^{xsin(x)})

expand

ln ((3 x + 2)^{x s i n (x)})

x sin (x) ln (3 x + 2)

Solution steps

ln ((3 x + 2)^{x s i n (x)})

Apply log rule:

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

ln ((3 x + 2)^{x s i n (x)}) = x sin (x) ln (3 x + 2)

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

ln (3 (10))

e n^{l n (9) - l n (7)}

4 (ln (z) + ln (z + 5) - 2 ln (z - 5))

ln (x + 3) ln (y) - ln (x y)

ln (y^{2} + 2) - ln (y^{2} - 5)

What is expand ln((3x+2)^{xsin(x)}) ?
The solution to expand ln((3x+2)^{xsin(x)}) is xsin(x)ln(3x+2)