Answer:
x ≈ 0.693
Step-by-step explanation:
Using the rule of logarithms
log[tex]x^{n}[/tex] ⇔ n log x and lne = 1
Given
2[tex]e^{x}[/tex] = 4 ( divide both sides by 2 )
[tex]e^{x}[/tex] = 2 ( take the ln of both sides )
ln[tex]e^{x}[/tex] = ln2, that is
x lne = ln2, thus
x = ln2 ≈ 0.693 ( to 3 dec. places )
