My cousin needs help with this please help thanks

Which logarithmic equation is equivalent to the exponential equation below? e^a=55(you will receive 34 points)

Formulate the indicated conclusion in nontechnical terms. be sure to address the original claim. the foundation chair for a hospital claims that the mean number of filled overnight beds is over 523, and she is therefore justified starting a funding campaign to add a wing to the hospital. assuming that a hypothesis test has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.

(60 points) explain this in detail