Solve the following logarithmic equations.
ln(32x^2) − 3 ln(2) = 3

If you draw a card with a value of three or less from a standard deck of cards, i will pay you $43. if not, you pay me $11. (aces are considered the highest card in the deck.) step 1 of 2 : find the expected value of the proposition. round your answer to two decimal places. losses must be expressed as negative values.