Write in Exponential Form natural log of square root of x+7=2

Problem

ln(√(,x+7))=2

Solution

1. Identify the base of the natural logarithm. The natural log, ln() is a logarithm with the base e

2. Recall the definition of a logarithm. The equation (log_b)(a)=c is equivalent to the exponential form bc=a

3. Apply the definition to the given equation. Here, the base b is e the argument a is √(,x+7) and the exponent c is 2

4. Rewrite the expression in exponential form by raising the base e to the power of 2 and setting it equal to the argument √(,x+7)

Final Answer

ln(√(,x+7))=2⇔e2=√(,x+7)

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