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y = logbx if and only if x = by. Use this definition to convert logarithms to exponential form. Doing this, we can derive a few properties: logb1 = 0 because b0 = 1 logbb = 1 because b1 = b logb(1 b) = − 1 because b − 1 = 1 b. Evaluate: Solution. When the base is not written, it is assumed to be 10. This is the common logarithm, log1 = log101 = 0.
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