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

Not in our source material

Materials

No slides or practice set for this standard yet

Enrichment

This lesson’s brief has no Differentiation

Accommodations

Not in our source material

Anticipatory Set / Bell Work

This lesson’s brief has no Suggested Activities

Check for Understanding

This lesson’s brief has no Formative Assessment or Assessment Ideas

Guided Practice

No slides or practice set for this standard yet

Independent Practice

No slides or practice set for this standard yet

Pacing

This lesson’s brief has no Pacing