Convert to Logarithmic Form e^(x+2)=0.2

Problem

e(x+2)=0.2

Solution

1. Identify the base, the exponent, and the result in the given exponential equation by=x

2. Apply the definition of a logarithm, which states that by=x is equivalent to (log_b)(x)=y

3. Substitute the values into the logarithmic form, where the base b is e the exponent y is x+2 and the result x is 0.2

4. Simplify the expression by using the natural logarithm notation ln() for a logarithm with base e

Final Answer

e(x+2)=0.2⇔ln(0.2)=x+2

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