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Popular >

simplify ln(1+e^{2x})-ln(2)

Solution

simplify

ln (1 + e^{2 x}) - ln (2)

Solution

ln (\frac{1 + e ^{2 x}}{2})

Solution steps

ln (1 + e^{2 x}) - ln (2)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (1 + e^{2 x}) - ln (2) = ln (\frac{e ^{2 x} + 1}{2})

= ln (\frac{1 + e ^{2 x}}{2})

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ln (- 2) - ln (1 + e^{- 2})

Frequently Asked Questions (FAQ)

What is ln(1+e^{2x})-ln(2) ?
The solution to ln(1+e^{2x})-ln(2) is ln((1+e^{2x})/2)