Topics
3. Exponential & Logarithmic Functions
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United States of AmericaTennessee
Integrated Math 3

3.05 Exponential and logarithmic equations

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the equation $5^x=13$5x=13.

a

Rearrange the equation into the form $x=\log_am$x=loga​m.

b

Evaluate $x$x to three decimal places.

Easy
2min

Consider the equation $29^x=5$29x=5.

Easy
2min

Consider the equation $49^x=169$49x=169.

Easy
2min

Consider the equation $4^{-x}=12$4−x=12.

Easy
2min
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Outcomes

M3.N.Q.A.1

Use units as a way to understand real-world problems.*

M3.A.CED.A.1

Create equations and inequalities in one variable and use them to solve problems in a real-world context.*

M3.A.CED.A.3

Rearrange formulas to isolate a quantity of interest using algebraic reasoning.*

M3.A.REI.A.1

Understand solving equations as a process of reasoning and explain the reasoning. Construct a viable argument to justify a solution method.

M3.F.LE.A.2.A

Solve exponential equations using a variety of strategies, including logarithms.

M3.MP1

Make sense of problems and persevere in solving them.

M3.MP2

Reason abstractly and quantitatively.

M3.MP3

Construct viable arguments and critique the reasoning of others.

M3.MP4

Model with mathematics.

M3.MP5

Use appropriate tools strategically.

M3.MP6

Attend to precision.

M3.MP7

Look for and make use of structure.

M3.MP8

Look for and express regularity in repeated reasoning.

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