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Final: Same Base

Part of the Exponentials, Logs & Sequences section of Coddy's Algebra 2 journey. Lesson 45 of 49.

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)

Solve for x

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 Growth or Decay Drawing Growth Drawing Decay Recap: Exponential Functions

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

Doubling Halving Growing by a Percent Losing a Percent 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