Question

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

Answer 1

`x\in(1.146,\infty)`

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)`