Question

2e^x=4
Can someone help me, To find de decimal of this.

Answer 1

Answer:

x ≈ 0.693

Step-by-step explanation:

Using the rule of logarithms

log$x^{n}$ ⇔ n log x and lne = 1

Given

2$e^{x}$ = 4 ( divide both sides by 2 )

$e^{x}$ = 2 ( take the ln of both sides )

ln$e^{x}$ = ln2, that is

x lne = ln2, thus

x = ln2 ≈ 0.693 ( to 3 dec. places )