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Simplify 
e^(ln 3+3) and write without any logarithms.
Answer:

Simplify eln3+3 e^{\ln 3+3} and write without any logarithms.\newlineAnswer:

Full solution

Q. Simplify eln3+3 e^{\ln 3+3} and write without any logarithms.\newlineAnswer:
  1. Rewrite using property of exponents: The properties of logarithms and exponents tell us that elnx=xe^{\ln x} = x for any positive number xx. We will use this property to simplify the given expression.\newlineCalculation: eln3+3e^{\ln 3+3} can be rewritten as eln3×e3e^{\ln 3} \times e^3, because of the property of exponents that states ab+c=ab×aca^{b+c} = a^b \times a^c.
  2. Apply property elnx=xe^{\ln x} = x: Now we apply the property that elnx=xe^{\ln x} = x to the first part of the expression.\newlineCalculation: eln3=3e^{\ln 3} = 3.
  3. Final simplified form: We are left with the expression 3×e33 \times e^3, which is already simplified and does not contain any logarithms.\newlineCalculation: 3×e33 \times e^3 is the final simplified form.

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