You have a log utility, $,$ where W is your wealth. Currently, you own $$1,000.$ You are given the chance to receive a payment of $$805$ with a probability of $46\%.$ Given the Expected Utility Theory, how much certainty payment would make you indifferent between taking a chance and taking the certainty payment? Enter a number with two decimal points. Answer the question in dollar amount, i$.$e$.,$ if the answer is $$20,$ enter $20\mathrm{.}00.($Note: whenever the calculation involves log and exponential operations, it is wise to keep more decimals in your intermediary steps so that your final two$-$decimal answer is accurate.$)$