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If 7^(x) = 49, what is the value of x?
Practice Questions
Q1
If 7^(x) = 49, what is the value of x?
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Questions & Step-by-Step Solutions
If 7^(x) = 49, what is the value of x?
Steps
Concepts
Step 1: Start with the equation 7^(x) = 49.
Step 2: Recognize that 49 can be rewritten as a power of 7.
Step 3: Write 49 as 7^2, since 7 multiplied by itself (7 * 7) equals 49.
Step 4: Now the equation looks like this: 7^(x) = 7^2.
Step 5: Since the bases (7) are the same, we can set the exponents equal to each other: x = 2.
Step 6: Therefore, the value of x is 2.
Exponents
– Understanding the properties of exponents and how to manipulate them to solve equations.
Base Conversion
– Recognizing that 49 can be expressed as a power of 7.
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