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)

ln (\frac{1}{81})

0.5 ln (100) - 2 ln (x) + 8 ln (y)

ln (\frac{1}{0.5}) - e^{- x^{3}}

ln (\frac{2 + 2}{2 - 2})

ln (\frac{490.87}{33.28})

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)