Write an equation and solve it. anything goes as long as you address the following points: a. the equation must start with an x variable in an exponent. b. the equation must require logarithms to solve. c. in the solution you must use the power rule, the product rule and the quotient rule at least once each. d. explain each step as you solve; which rules are you using and why? e. what challenges did you face as you were writing your problem? did you run into any dead ends? pleaz

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)