Convert to Logarithmic Form e^(2x)=8

Problem

e(2*x)=8

Solution

1. Identify the base, the exponent, and the result in the given exponential equation e(2*x)=8

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, using the natural logarithm ln() because the base is e

4. Rewrite the equation such that the exponent 2*x is isolated.

Final Answer

e(2*x)=8⇔ln(8)=2*x

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