How to Do Ratio, Proportion, and Percentages Puzzle -Critical Thinking 8
This kind of math puzzle is an educational activity for practicing children's math skills. It's also helpful for adults to have fun and challenge their brains!
Challenge:
If \(5^x + 5^{x+1} + 5^{x+2}=\frac{31}{25}\), what is the value of x?
The Absolute Best Book to Challenge Your Smart Student!
Original price was: $16.99.$11.99Current price is: $11.99.
Satisfied 123 Students
The correct answer is \(-2\).
Solve for x:
\(5^x + 5^{x+1} + 5^{x+2}=\frac{31}{25}\)
The common factor is \(5^x\). Then,
\(5^x(1+5^1+5^2)=\frac{31}{25}⇒5^x(31)=\frac{31}{25}⇒5^x=\frac{\frac{31}{25}}{31}⇒\)
\(5^x=\frac{31}{25}÷\frac{31}{1}=\frac{31}{25}×\frac{1}{31}=\frac{1}{25}\)
\(\frac{1}{25}=5^{-2}\) Then: \(5^x=5^{-2}⇒ x = -2\)
Related to This Article
More math articles
- TSI Math-Test Day Tips
- FREE CBEST Math Practice Test
- Geometry Puzzle – Challenge 62
- 8th Grade MCAS Math FREE Sample Practice Questions
- 3rd Grade MEAP Math Practice Test Questions
- How to Estimate Angle Measurements
- How to Identify Statistical Questions
- How is the FTCE General Knowledge Test Scored?
- Cracking the Case: How to Understand Word Problems of Interpreting a Graph
- Top 10 3rd Grade SBAC Math Practice Questions
What people say about "How to Do Ratio, Proportion, and Percentages Puzzle -Critical Thinking 8 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.