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when evaluating a logarithm what you want to do is make sure the base and the argument are the same thing and your final answer would be the exponent so as you can see the 1.25 is a decimal so Iamp;#39;m going to convert that into a fraction of 5 over4 the argument of 64 over 125 can be reduced down into smaller numbers so Iamp;#39;m going to write the 64 as 4 cubed and the 125 as 5 cubed next thing you want to do is bring that 4 cubed over 5 cubed inside bracket and raised to the^ of 3 so you have Log 5 4 of 4 5 cubed and as you can see the 5 over 4 is the reciprocal of the 4 over 5 so you could use an exponent Rule and change the 4 over 5 and raise it to the power of 1 giving log 54 of 54 -3 now we could see the base is the same as the argument so that means our final answer is the exponent of -3