Respuesta :
Answer:
x ≈ 2.0794
Step-by-step explanation:
Given
[tex]e^{x}[/tex] = 8 ( take ln of both sides )
ln [tex]e^{x}[/tex] = ln 8
x lne = ln 8 [ lne = 1 ]
x = ln 8 ≈ 2.0794 ( to 4 dec. places )
Answer:
x ≈ 2.0794
Step-by-step explanation:
[tex] \small \sf \: e {}^{x} = 8[/tex]
Take the natural logarithm of both side of equation
- [tex]\small \sf \: In ( e {}^{x} ) = In ( 8 )[/tex]
[tex] \small \sf \: Use \: In(e {}^{x} ) = x \: to \: simplify \: the \: expression.[/tex]
- x = In( 8 )
Write the number in exponential form.
- x = In(2³)
Use In(aⁿ) = n × In ( a ) to transform the expression.
- x = 3In( 2 ) ≈ 2.07944
Round to four decimal places = 2.0794
