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! For additional educational resources, . For additional educational resources
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!
The correct answer is \(-2\).
Original price was: $27.99.$17.99Current price is: $17.99.Satisfied 92 Students
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
- The Practical Benefits Of Knowing Math – The 10 Best Industries For Math Geeks
- Smarter Balanced Grade 4 Math Free Worksheets: 72 Printable Standards-Aligned PDFs with Answer Keys
- North Dakota NDSA Grade 7 Math Worksheets: 95 Free Printable PDFs Organized by Skill
- Michigan Algebra 1 Free Worksheets: Free Standards-Aligned Algebra 1 Worksheets, Answers Included
- How to Solve the Frequency Distribution Table?
- Finding Derivatives Made Easy! Power Rule of Differentiation
- FREE ISEE Middle Level Math Practice Test
- Algebra Puzzle – Challenge 35
- How to Find Scalar Multiplication of Vectors?
- How to Find Vague Limits by Change of Function’s Value
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.