### Video Transcript

Write the logarithmic equation
eight equals ln of 𝑥 in exponential form.

In this question, we are given the
natural logarithm ln of 𝑥. We know that the natural logarithm
ln of 𝑥 is equal to log of base 𝑒 of 𝑥. We also know that ln is the inverse
function of the exponential function. If 𝑦 is equal to ln of 𝑥, then 𝑒
to the power of 𝑦 equals 𝑥. In this question, eight is equal to
ln of 𝑥. This means that 𝑒 to the power of
eight or 𝑒 to the eighth power is equal to 𝑥. The logarithmic equation eight
equals ln 𝑥 written in exponential form is 𝑒 to the power of eight equals 𝑥.