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Learning Goal

‹3 of 4 in this skill_area›

Solving logarithmic equations

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

**F 707.** Exhibit knowledge of logarithms **A 601.** Manipulate expressions and equations — score range 28-32, lines 315-316 **AF 702.** Build functions and write expressions, equations, and inequalities when the process requires planning and/or strategic manipulation — score range 33-36, lines 364-366 **A 513.** Determine when an expression is undefined — score range 24-27, lines 255-256

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F 707. Exhibit knowledge of logarithms
A 601. Manipulate expressions and equations — score range 28-32, lines 315-316
AF 702. Build functions and write expressions, equations, and inequalities when the process requires planning and/or strategic manipulation — score range 33-36, lines 364-366
A 513. Determine when an expression is undefined — score range 24-27, lines 255-256

What you'll learn

  1. Solve a single-logarithm equation by isolating the logarithm and converting to exponential form
  2. Condense a multi-logarithm equation to a single logarithm before converting
  3. Solve an equation of the form $\log_b M = \log_b N$ by equating arguments, and say why that is legitimate
  4. Solve an exponential equation for its exponent by taking a logarithm of both sides
  5. Rewrite a logarithm in another base using change of base, and recognise $\frac{\log x}{\log b}$ as $\log_b x$
  6. Check every candidate solution against the original equation and discard extraneous ones

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