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hello good morning viewers we have a question here on the logarithm and the question says we should simplify it without using calculator no logarithm table and the question can be solved within a minute but i want to highlight all the necessary steps lets get started what we are given is log of 2.25 plus 4 multiplied by log of 2 minus 2 multiplied by log of 0.6 let me start from the first time here the first time is log of 2.25 i know that 2.25 can be rationalized as 2.25 divided by 1. and this point if i want to migrate it to the last docHub number i have to multiply by 100 so for equivalent fraction we can multiply the top and the bottom by 100 so that this becomes two to five and one multiplied by 100 is 100 this is only because i want to show you all the details so instead of 2.25 i can now write it as 225 divided by 100 so we have log of 225 divided by 100 next let us move on to the second term here remember we have a law of logarithm that says if you have something like a l