SOLUTION: Need help with these two problems, please help: Solve the exponential equation. Express the solution set in terms of natural logarithms. e x + 4 = 2 a. {e2 + 4} b. {e8}

Question 313935: Need help with these two problems, please help:
Solve the exponential equation. Express the solution set in terms of natural logarithms.
e x + 4 = 2
a. {e2 + 4}
b. {e8}
c. {ln 6}
d. {ln 2 - 4}
Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.
log2(x + 3) = 4 + log2(x - 2)
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
You must have meant this problem to be ,
First take the ln of each side to undo the e^.

Now, subtract 4 from each side:

For additional help with Logarithms, please see my own website. Click on my tutor name "rapaljer" anywhere in algebra.com. There you will see the link to my Homepage. Near the top of my Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Choose "College Algebra", and look for "Chapter 4" which is "Logarithms." In this chapter, you will find my own non-traditional explanation of Logarithms, complete with examples, exercises, and ALL the answers. Many of these exercises are also solved IN COLOR on my "Math in Living Color" pages that go along with these sections.

In addition, please see my FREE videos, which were made in my own classes before I retired a few years ago. To see the videos, look on my Homepage for the link "Rapalje Videos in Living Color." Click on "College Algebra" and look for Logarithms Part I and Part II.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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