Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify 
e^(ln 2+2) and write without any logarithms.
Answer:

Simplify eln2+2 e^{\ln 2+2} and write without any logarithms.\newlineAnswer:

Full solution

Q. Simplify eln2+2 e^{\ln 2+2} and write without any logarithms.\newlineAnswer:
  1. Break down expression: The expression e(ln2+2)e^{(\ln 2+2)} can be broken down into two parts: e(ln2)e^{(\ln 2)} and e2e^2. We know that e(lnx)=xe^{(\ln x)} = x for any xx, because the natural logarithm function ln\ln is the inverse of the exponential function exe^x. Therefore, e(ln2)e^{(\ln 2)} simplifies to 22.
  2. Simplify eln2e^{\ln 2}: Now we need to consider the second part of the expression, which is e2e^2. This part remains as it is because it does not involve a logarithm and is already in its simplest exponential form.
  3. Combine parts: Combining the two parts together, we have 2e22 \cdot e^2. This is the simplified form of the original expression without any logarithms.

More problems from Find the roots of factored polynomials