Answer:
[tex]x\in(1.146,\infty)[/tex]
Step-by-step explanation:
We are given an inequality
[tex]e^x>14[/tex]
We have to solve the given inequality.
Taking both side ln of given inequality
Then, we get
[tex]ln(e^x)>ln(14)[/tex]
[tex]xlne>1.146[/tex]
We know that
lne=1
Using the value
[tex]x>1.146[/tex]
[tex]x\in(1.146,\infty)[/tex]
Hence, the value of x is given by
[tex]x\in(1.146,\infty)[/tex]
