If (5^{x+2}-5^{x}=600), what is the value of (x)?
Answer and explanation
Correct answer: (2)
Here (5^{x+2}-5^{x}=25\cdot5^{x}-5^{x}=24\cdot5^{x}=600), so (5^{x}=25=5^{2}). In exams, factor out the common power.
Frequently asked questions
What is the correct answer to this question?
(2)
Why is this the correct answer?
Here (5^{x+2}-5^{x}=25\cdot5^{x}-5^{x}=24\cdot5^{x}=600), so (5^{x}=25=5^{2}). In exams, factor out the common power.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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