Question

Attachment below algebra helppppp

Answer 1

Answer: second option.

Step-by-step explanation:

In order to solve this exercise, it is necessary to remember the following properties of logarithms:

$1)\ ln(p)^m=m*ln(p)\\\\2)\ ln(e)=1$

In this case you have the following inequality:

$e^x>14$

So you need to solve for the variable "x".

The steps to do it are below:

1. You need to apply $ln$ to both sides of the inequality:

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

2. Now you must apply the properties shown before:

$(x)ln(e)>ln(14)\\\\(x)(1)>2.63906\\\\x>2.63906$

3. Then, rounding to the nearest ten-thousandth, you get:

$x>2.6391$