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describe the change-of-base formula in mathematics.
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the change-of-base formula is an equation used to convert numbers between different number bases. it states that if you have two numbers, a and b, with base b, then the value of a in base 10 can be found by calculating the sum of all the digits in a multiplied by the appropriate power of b. this formula can be used to convert from any base to another as long as the bases are different.
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