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Convert to Logarithmic Form e^x=23

Problem

ex=23

Solution

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

  2. Recognize that the base is e the exponent is x and the result is 23

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

  4. Substitute the values into the logarithmic form to get (log_e)(23)=x

  5. Simplify the expression by using the natural logarithm notation ln() where (log_e)() is written as ln()

Final Answer

ex=23⇔ln(23)=x


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