We can write logarithms as exponential so the properties of logarithms are related to the rules of exponents. Logarithm Properties- If x and y are positive numbers, b>0 and b is not equal to one: Example Example Example We can use these properties to condense an expression involving several log terms into a single log term. Example2 Write each of the following as a single logarithm: These properties can also be used to solve equations involving only log terms. Example3 Solve for t: (The left side is already a single log term so we need to condense the right side to a single log term.) So t=200 So
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