Q. Simplify eln2+2 and write without any logarithms.Answer:
Break down expression: The expression e(ln2+2) can be broken down into two parts: e(ln2) and e2. We know that e(lnx)=x for any x, because the natural logarithm function ln is the inverse of the exponential function ex. Therefore, e(ln2) simplifies to 2.
Simplify eln2: Now we need to consider the second part of the expression, which is e2. This part remains as it is because it does not involve a logarithm and is already in its simplest exponential form.
Combine parts: Combining the two parts together, we have 2⋅e2. This is the simplified form of the original expression without any logarithms.
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