Question

100 Points

What is the value of the logarithmic or exponential expression?
Select True or False for each statement

Answer 1

• True, False, False

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Let's simplify left sides of each statement and compare with right sides:

• 
  `3^(5log_32)=3^(log_32^5)=3^(log_332)=32 \implies True`
• 
  `2 ln\ e^(1/4)=2*1/4*ln\ e^{}=2*1/4*1=1/2\implies False`
• 
  `e^(2ln e-1)=e^(2*1-1)=e^(2-1)=e^1=e \implies False`