Q. Simplify eln3+3 and write without any logarithms.Answer:
Rewrite using property of exponents: The properties of logarithms and exponents tell us that elnx=x for any positive number x. We will use this property to simplify the given expression.Calculation: eln3+3 can be rewritten as eln3×e3, because of the property of exponents that states ab+c=ab×ac.
Apply property elnx=x: Now we apply the property that elnx=x to the first part of the expression.Calculation: eln3=3.
Final simplified form: We are left with the expression 3×e3, which is already simplified and does not contain any logarithms.Calculation: 3×e3 is the final simplified form.
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