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Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1 . Where possible, evaluate logarithmic expressions.

Ask by Hill Grant. in the United States
Mar 21,2025

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Answer

It seems the logarithmic expression needs to be provided to condense it into a single logarithm.

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It looks like the logarithmic expression to be condensed wasn’t provided. Could you please share the full expression you’d like to simplify?

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Beyond the Answer

To condense a logarithmic expression, you can utilize properties like the product, quotient, and power rules. For example, if you have 2 log a + 3 log b, you can rewrite it as log(a^2) + log(b^3) = log(a^2 * b^3), combining the logs into a single expression where the coefficient is 1. If you need to evaluate a specific logarithmic expression, say log(100) with base 10, it equals 2 since 10^2 = 100. This step helps you not only reduce the expression but also provides insights into its value in real numbers!

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