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with long to 100 since theres no base we assume that its base 10 so you can think of this as log 10 of 100 equals 1 so the question youre
asking yourself is 10 raised to what power equals 100 with logarithms youre asking yourself the question of what power will make this statement true so Ill start with 10 squared
so 10 squared equals 10 times 10 which is equal to 100 so that tells me that log 100 again because theres no base here this is where the base would
go since theres no base youre just simply seeing what not what 10 – what number gives me 100 and the answer would be 2 so log 100 simplifying is 2
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