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If 5^x = 25, what is the value of x?
Practice Questions
Q1
If 5^x = 25, what is the value of x?
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Questions & Step-by-Step Solutions
If 5^x = 25, what is the value of x?
Steps
Concepts
Step 1: Start with the equation 5^x = 25.
Step 2: Recognize that 25 can be rewritten as 5 raised to a power. Specifically, 25 = 5^2.
Step 3: Now rewrite the equation using this information: 5^x = 5^2.
Step 4: Since the bases (5) are the same, we can set the exponents equal to each other: x = 2.
Step 5: Therefore, the value of x is 2.
Exponential Equations
– Understanding how to manipulate and solve equations involving exponents.
Base Matching
– Recognizing that if the bases are the same, the exponents must be equal.
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