Question

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

Answer 1

x ≈ 0.693

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 )