SOLUTION: e2x=4

Question 308646: e2x=4
Found 2 solutions by Alan3354, rapaljer:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
e2x=4
Is 2x an exponent? Use e^2x = 4 for exponents.
e^2x = 4
2x = ln(4)
x = ln(4)/2 = ln(2)
x =~ 0.693147
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!

In order to "undo" the "e^", you must take the ln of each side of the equation:

Finally, divide both sides by 2.

This answer does NOT reduce!!

For additional help with LOGARITHMS and EXPONENTIAL FUNCTIONS, please see my own website by clicking on my tutor name "rapaljer" anywhere in algebra.com. Then click on my website. On my Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Then choose "College Algebra", then "Chapter 4 (Logarithms)", and see Section 4.01. I have a complete explanation of Logarithms that I think you will find my explanation a lot easier to understand than traditional textbooks. Besides this, many of my exercises are solved IN COLOR in the MATH IN LIVING COLOR pages that go with this.

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Seminole State College of Florida
Altamonte Springs Campus

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