What is expand ln((2e^{bD}cosh(buh)+1)^N) ?

The solution to expand ln((2e^{bD}cosh(buh)+1)^N) is Nln(2e^{bD}cosh(buh)+1)

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expand ln((2e^{bD}cosh(buh)+1)^N)

expand

ln ((2 e^{b D} cosh (b u h) + 1)^{N})

N ln (2 e^{b D} cosh (b u h) + 1)

Solution steps

ln ((2 e^{b D} cosh (b u h) + 1)^{N})

Apply log rule:

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

ln ((2 e^{b D} cosh (b u h) + 1)^{N}) = N ln (2 e^{b D} cosh (b u h) + 1)

= N ln (2 e^{b D} cosh (b u h) + 1)

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What is expand ln((2e^{bD}cosh(buh)+1)^N) ?
The solution to expand ln((2e^{bD}cosh(buh)+1)^N) is Nln(2e^{bD}cosh(buh)+1)