![]() In addition to the property that allows you to go back and forth between logarithms and exponents, there are other properties that allow you work with logarithmic expressions. This problem is nice because you can check it on your calculator to make sure your exponential equation is correct. ![]() In the logarithmic form, the 625 will be by itself and the 4 will be attached to the 5. The 625 was attached to the 5 and the 4 was by itself. Since the base is the same whether we are dealing with an exponential or a logarithm, the base for this problem will be 5. So when we switch those values, the 2 is by itself and the 8 is “attached” In this case the 2 is “attached” to the 3 and the 8 is by itself. It doesn’t matter if x and y are variables or numbers. In the exponential form in this problem, the base is 2, so it will become the base in our logarithmic form.īecause logarithms and exponents are inverses of each other, the x and y values change places. ![]() When changing between logarithmic and exponential forms, the base is always the same.
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