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Final: Two Logs

Part of the Exponentials, Logs & Sequences section of Coddy's Algebra 2 journey. Lesson 44 of 46.

Solve the equation on the board for x. Expect two candidates: check each one in the original equation, since a log needs a positive input.

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Challenge

Solve log⁡3(x)+log⁡3(x−8)=2\log_{3}\left(x\right)+\log_{3}\left(x-8\right) = 2 for x. Check every candidate in the original equation.

Try it yourself

log⁡3(x)+log⁡3(x−8)=2\log_{3}\left(x\right)+\log_{3}\left(x-8\right) = 2

Get xx alone

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This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Exponentials, Logs & Sequences

1Exponential Functions

Repeated MultiplyingDrawing GrowthDoublingDrawing Decay

4Meet the Logarithm

What a Log IsReading a LogLogs of FractionsFrom Log to PowerRecap: Logarithms

7Log Equations

Combine, Then UndoA Difference of LogsSame Log Both SidesA False AnswerRecap: Log Equations

10Final Challenges

Final: Same BaseFinal: Log ItFinal: Two LogsFinal: The InvestmentFinal: The Staircase

2Growth and Decay

Growing by a PercentHow Long Until?Recap: Growth and Decay

5Log Rules

The Product RuleThe Quotient RuleThe Power RuleInto One LogRecap: Log Rules

8Arithmetic Sequences

The nth TermWhich Term?Adding the TermsRecap: Arithmetic Sequences

3Same-Base Equations

Matching PowersRewriting the BaseAn Expression UpstairsFractions and NegativesRecap: Same Base

6Solving with Logs

Take the LogIsolate the Power FirstBase eUndoing lnRecap: Solving with Logs

9Geometric Sequences

Multiply Each TimeFinding the RatioGeometric SumsForever SumsRecap: Geometric Sequences