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here we want to rewrite this equation in logarithmic form letamp;#39;s start with the definition if we have y equals log base B of X well thatamp;#39;s going to be equivalent to uh the exponential B to the Y equals X now what weamp;#39;re given here is 3^ -2 power equals 1 9th okay so you could see here B the base is 3 Y is -2 and X is 1 9th so when we apply the definition here we can say -2 then equals log of log base 3 of 1 nth okay so -2 equals log base 3 of 1 nth thatamp;#39;s the equivalent in logarithmic form