ACT Math
Lesson Plan
Solving logarithmic equations
Goals / Objectives
Solve a single-logarithm equation by isolating the logarithm and converting to exponential form
Condense a multi-logarithm equation to a single logarithm before converting
Solve an equation of the form $\log_b M = \log_b N$ by equating arguments, and say why that is legitimate
Solve an exponential equation for its exponent by taking a logarithm of both sides
Rewrite a logarithm in another base using change of base, and recognise $\frac{\log x}{\log b}$ as $\log_b x$
Check every candidate solution against the original equation and discard extraneous ones
Standards
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
Academic Vocabulary
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Modeling
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Homework
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