Video Transcript
Write the exponential equation 𝑒 to the 𝑥 power equals five in logarithmic form.
So exponential form is 𝑒 to the 𝑎 power equals 𝑏, whereas logarithmic form is log base 𝑒 of 𝑏 equals 𝑎. And the great thing is we can go back and forth between these forms.
So we had the exponential equation 𝑒 to the 𝑥 equals five. So 𝑎 is equal to 𝑥 and 𝑏 is equal to five. So we have log base 𝑒 and 𝑏 should be five and 𝑎 should be equal to 𝑥. So here’s our equation.
However, we can reduce this because log base 𝑒 is actually the natural log. So we have that the natural log of five is equal to 𝑥.
Therefore, 𝑥 equals the natural log of five will be our final answer.
