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Mastering Logarithm Properties for Effective Problem-solving

Learn how to utilize exponential notation, exponent properties, and log rules efficiently in various examples. Understand raising both sides to "c" power, changing bases, the power rule, and simplify for accurate results. Enhance your logarithmic evaluation skills and problem-solving capabilities today!

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Mastering Logarithm Properties for Effective Problem-solving

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  1. Section 3.4 Properties of Logarithms

  2. Properties of Logs EXAMPLES:

  3. Use exponential notation Raise both sides to the power of c Use properties of exponents Take the log base b of both sides Simplify left side “Back substitute” for x

  4. Change of Base Formula This means you CAN evaluate logs with ANY base!

  5. Write in exponential notation Take log base a of both sides Use Power Rule Dived both sides by “Back substitute” for x

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