Question 1205851
your expression is 2 minus 2 * log3(5).


2 is equivalent to log3(9).


your expression becomes log3(9) - log3(25)


this becomes log3(9/25)


log3(9/25) is equal to log(9/25)/log(3) = -.9299470414


2 - 2 * log3(5) is equivalent to 2 - 2 * log(5)/log(3) which is equal to -.9299470414.


they give you the same answer, so 2 - 2 * log3(5) is equivalent to log3(9/25).


a couple of basic properties of logs are active here.


these are the properties as they apply to this problem.


log3(x) = log(x) / log(3)


log3(x) = y if and only if 3^y = x



your solution is that 2 - 2 * log3(5) is equivalent to log3(9/25).