Question

Solve the given inequality. Round to the nearest ten-thousandth, if necessary. e x > 14

Answer 1

Answer:

$x\in(1.146,\infty)$

Step-by-step explanation:

We are given an inequality

$e^x>14$

We have to solve the given inequality.

Taking both side ln of given inequality

Then, we get

$ln(e^x)>ln(14)$

$xlne>1.146$

We know that

lne=1

Using the value

$x>1.146$

$x\in(1.146,\infty)$

Hence, the value of x is given by

$x\in(1.146,\infty)$