Answer:
x = 2.37
Explanation:
ln x = 0.863
apply e to both sides of the equation:
e^(ln x) = e^0.863
e^(ln x) = x = e^0.863
{Demonstration of e^(ln x) = x:
y = e^(ln x)
apply ln to both sides of the equation:
ln y = ln (e^(ln x))
apply logarithmic property (ln xⁿ = n ln x)
ln y = ln x * ln e (ln e = 1)
ln y = ln x
Then:
y = x
Because y = e^(ln x) and x = y, then:
x = e^(ln x)
End of the demonstration }
Returning to our equation:
e^(ln x) = e^0.863
Then,
x = e^0.863 = 2.37
