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Simplify the following. (Please show all work.)

Simplify the following. (Please show all work.)     

Simplify the following. (Please show all work.)  

Simplify the following. If no simplification is possible, say so. (Please show all work.) 

Give the value(s) of 

Simplify the following. 

Please submit all your work in the question

Rewrite the equation in logarithmic form

You are in a hot air balloon. You look at Steve with an angle of depression of 30 degrees. Your elevation is 1200 feet. How far apart are you and Steve? Round your answer to the nearest tenth.

Phoebe, a 23-year-old female, has gastroenteritis. While reviewing her medical history and discussing management options, she inquiries about treatment for her severe diarrhea. Which of the following findings would contradict an anti-motility agent regimen to help manage the patients diarrhea?