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ILS2.2: Exponential equations

We know that 3 to the power of 2 is 9 and 3 to the power of 3 is 27. But what is the power of 3 that is equal to something in between, such as 20? It would be 3 to the power of something greater than 2 but less than 3. Logarithms and exponential equations can help us here.