What is expand ln((3-2x)^{tan((3pix)/2)}) ?

The solution to expand ln((3-2x)^{tan((3pix)/2)}) is tan((3pix)/2)ln(3-2x)

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expand ln((3-2x)^{tan((3pix)/2)})

expand

ln ((3 - 2 x)^{t a n (\frac{3 π x}{2})})

tan (\frac{3 π x}{2}) ln (3 - 2 x)

Solution steps

ln ((3 - 2 x)^{t a n (\frac{3 π x}{2})})

Apply log rule:

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

ln ((3 - 2 x)^{t a n (\frac{3 π x}{2})}) = tan (\frac{3 π x}{2}) ln (3 - 2 x)

= tan (\frac{3 π x}{2}) ln (3 - 2 x)

ln (6) - ln (e - e^{3})

ln (\frac{63}{\frac{38}{- 0.08}})

ln (\frac{q}{t})

9.25 + lo g_{10} (\frac{0.1}{0.04})

ln (\frac{1100000}{900000})

What is expand ln((3-2x)^{tan((3pix)/2)}) ?
The solution to expand ln((3-2x)^{tan((3pix)/2)}) is tan((3pix)/2)ln(3-2x)