Solve the equation.

Question

Solve the equation.

 

2 In  x = 8

 

The solutions is/are x = ?

Answer 1

Hi Keith;

2 In x = 8

Let's divide both sides by 2...

(2 In x)/2=8/2

In x=4

This is also...

In_ex=4

We will move the base _e to the right side where it will become non-base e.

We will convert the 4 into exponential ⁴.

x=e⁴

x≈2.72⁴

x≈54.7

 

Answer 2

Hi Keith,

 

First divide both sides of the equation by 2:

 

ln x = 4

 

Write that equation in exponential form:

 

e^4 = x

 

x is approximately equal to 54.6