Simplify/Condense natural log of (e)^(8x^2+7x-4)

Problem

ln(e(8*x2+7*x−4))

Solution

1. Identify the expression as a natural logarithm of an exponential function with base e

2. Apply the property of logarithms which states that ln(eu)=u for any expression u

3. Simplify the expression by canceling the natural logarithm and the exponential base, leaving only the exponent.

Final Answer

ln(e(8*x2+7*x−4))=8*x2+7*x−4

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