SOLUTION: Please solve e^x = 2 using steps

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Question 133333: Please solve e^x = 2 using steps
Found 3 solutions by josmiceli, nycsharkman, jim_thompson5910:
Answer by josmiceli(6797)   (Show Source):
You can put this solution on YOUR website!
Logs are exponents, and in this problem, is an exponent,
and so it is also a log. The base of this log is
I can write This is normally written as
.I can find this on my calculator.

answer

Answer by nycsharkman(136)   (Show Source):
You can put this solution on YOUR website!
We can get a solution by changing the exponential equation to log form.
Take natural log of both sides of the equation.
In(e^x) = In(2)
The left side becomes x because the natural log of e^x is just x.
We now have this:
x = In(2)
Use calculator to find x.
x = 0.693
NOTE: I also want to add that the decimal number 0.6931471806 can be rounded off to three decimal places. This is why I selected the approximate value for x = 0.693
Is this clear?

Answer by jim_thompson5910(21685)   (Show Source):
You can put this solution on YOUR website!
Start with the given equation

Take the natural log of both sides

Rewrite the left side using the identity

Evaluate to get 1

Multiply

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Answer:
So our answer is which is approximately