Answer:
C
Step-by-step explanation:
The equation given is an exponential equation:
[tex]e^x = 2.4[/tex]
The first step in solving these type of equations is to take the Natural Logarithm (Ln) of both sides, so we have:
[tex]Ln(e^x)=Ln(2.4)[/tex]
Now, we use the property of logarith shown below to further simplify:
[tex]Ln(a^b)=bLn(a)[/tex]
We can write:
[tex]Ln(e^x)=Ln(2.4)\\xLn(e)=Ln(2.4)[/tex]
From basic exponential theory, we know Ln(e) = 1, thus we have:
[tex]xLn(e)=Ln(2.4)\\x(1)=Ln(2.4)\\x=Ln(2.4)[/tex]
Using calculator, we have:
[tex]x=Ln(2.4)=0.8755[/tex]
Rounding to 2 decimal places,
x = 0.88
Answer choice C is right.
