Math Problem Statement
3^x = 9. Solve for x.
Solution
The equation in the image is:
To solve for , let's express both sides in terms of the same base, if possible.
Solution:
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Notice that 9 can be written as a power of 3:
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Substitute with :
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Since the bases are the same, we can set the exponents equal to each other:
Answer:
Would you like more details on exponential equations or have any specific questions?
Here are five related questions to explore further:
- How do you solve exponential equations when the bases are different?
- What happens if the exponent is a fraction?
- Can you solve using a similar approach?
- What are some real-world applications of exponential equations?
- How do logarithms help in solving exponential equations?
Tip: When solving exponential equations, try to express both sides with the same base to simplify the solution process.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponential Equations
Formulas
a^x = a^y implies x = y if a > 0 and a ≠ 1
Theorems
Exponent Properties
Suitable Grade Level
Grades 8-10