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Logarithms

9 videos

Know Why Logarithms Matter thumbnail
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Algebra 2 - Why Logarithms Matter

Learn what logarithms are and how they reverse exponents to solve real-world problems like investment growth, population, and sound intensity.

Know What Is a Logarithm? thumbnail
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Algebra 2 - What Is a Logarithm?

This video explains logarithms as the inverse of exponents, showing how they find the missing exponent when you know the base and result.

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Algebra 2 - Evaluating Logarithms (Including Tricky Ones)

Learn to solve logarithms with fractions by understanding negative exponents and reciprocals. Master tricky log problems through clear examples and step-by-step explanations.

Know Exponentials and Logarithms Are Inverses thumbnail
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Algebra 2 - Exponentials and Logarithms Are Inverses

Learn how logarithms are inverse functions of exponentials, mirroring across y=x and perfectly undoing each other's operations with base 2 examples.

Know The Number e and Natural Logarithm (ln) thumbnail
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Algebra 2 - The Number e and Natural Logarithm (ln)

Learn about the mathematical constant e (approximately 2.71828) derived from continuous compounding and its inverse function, the natural logarithm (ln).

Know Simplifying with Log Properties: Step by Step thumbnail
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Algebra 2 - Simplifying with Log Properties: Step by Step

Learn to simplify complex logarithmic expressions using quotient, product, and power rules step-by-step to break down messy fractions into clean, simple terms.

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Algebra 2 - The Change of Base Formula

Learn the change of base formula to calculate logarithms with any base using your calculator's log buttons. Includes step-by-step example with log base 7 of 200.

Know Solving Exponential Equations with Logarithms thumbnail
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Algebra 2 - Solving Exponential Equations with Logarithms

Learn how to solve exponential equations using logarithms. This tutorial covers the power rule technique to isolate variables in exponents and find solutions.

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Algebra 2 - Solving Exponential Word Problems

Learn how to use logarithms to solve exponential decay problems, like finding when a $25,000 car depreciates to $8,000 at 15% annual loss.