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number one condense the following expression into a single logarithm so go ahead and try this problem the first thing we need to do is move the coefficients to their exponent positions so this is equivalent to log x to the third power minus log y to the fifth power plus log z raised to the two thirds so now we can write it as a single log expression the logs that have a plus sign will go on the top so x cubed and z to the two-thirds are going to go in the numerator of this fraction this one is associated with a negative log so y to the fifth is going to go on the bottom and so thatamp;#39;s how you can write it as a single log and if you want to you can write z to the two thirds as the cube root of z squared number two expand the following logarithmic expression into a sum or difference of logs the first thing that we can do in this problem is we can move the 5 to the front so this is going to be 5 log cube root of a b squared over c to the fourth now iamp;#39;m going to rewrite this