Question

In: Advanced Math

Is there a number x such that ln x = 2? If so, what is that number? Verify the result.

Is there a number x such that ln x = 2? If so, what is that number? Verify the result.

 

 

Solutions

Expert Solution

Consider the following equation,

lnx = 2

 

Now, determine x as follows:

Suppose there exist a real number x such that lnx = 2.

Rewrite it in exponential equation:

x = e2

 

This is a real number.

To verify x = e2, by the definition;

ln(x) = ln(e2)

         = 2

 

Therefore, there is a number x such that lnx = 2.


Therefore, there is a number x such that lnx = 2.

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