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