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QUESTION IMAGE

e^{\\ln 1} = \\box e^{\\ln 5x} = \\box

Question

e^{\ln 1} = \box

e^{\ln 5x} = \box

Explanation:

⚡ Using what you learned: properties of logarithms

Step 1: Evaluate the first expression

Using the inverse property of natural logarithms and exponential functions, \( e^{\ln(a)} = a \) for any \( a > 0 \):

$$ e^{\ln 1} = 1 $$

Step 2: Evaluate the second expression

Applying the same inverse property:

$$ e^{\ln 5x} = 5x $$

Answer:

  • First box: 1
  • Second box: 5x