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Final: Same Base

Part of the Exponentials, Logs & Sequences section of Coddy's Algebra 2 journey. Lesson 42 of 46.

Solve the equation on the board for x. Its two sides have different bases, but both bases are powers of the same number.

Challenge

Solve ${8}^{x-1} = {4}^{x+1}$ for x.

Try it yourself

8^{x-1} = 4^{x+1}

Get $x$ alone

Test yourself

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 Multiplying Drawing Growth Doubling Drawing Decay

4Meet the Logarithm

What a Log Is Reading a Log Logs of Fractions From Log to Power Recap: Logarithms

7Log Equations

Combine, Then Undo A Difference of Logs Same Log Both Sides A False Answer Recap: Log Equations

10Final Challenges

Final: Same BaseFinal: Log It Final: Two Logs Final: The Investment Final: The Staircase

2Growth and Decay

Growing by a Percent How Long Until?Recap: Growth and Decay

5Log Rules

The Product Rule The Quotient Rule The Power Rule Into One Log Recap: Log Rules

8Arithmetic Sequences

The nth Term Which Term?Adding the Terms Recap: Arithmetic Sequences

3Same-Base Equations

Matching Powers Rewriting the Base An Expression Upstairs Fractions and Negatives Recap: Same Base

6Solving with Logs

Take the Log Isolate the Power First Base e Undoing ln Recap: Solving with Logs

9Geometric Sequences

Multiply Each Time Finding the Ratio Geometric Sums Forever Sums Recap: Geometric Sequences