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The Natural Base e - Page 11

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How do you solve #\ln e ^ { x } = 3#?
Consider the function defined as f(x) = e^x + e^-x/2, x > 0. Find the inverse of f?
How do you solve #3e ^ { 2x + 1} = 27#?
What is #e^(xlny)# when #x=3# and #y=2#?
How do you solve #4e ^ { 7x } = 10,273#?