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If log7(49) = x, what is the value of x?

Practice Questions

Q1
If log7(49) = x, what is the value of x?
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Questions & Step-by-Step Solutions

If log7(49) = x, what is the value of x?
Correct Answer: 2
  • Step 1: Understand the equation log7(49) = x. This means '7 raised to the power of x equals 49'.
  • Step 2: Rewrite 49 as a power of 7. We know that 49 is the same as 7 squared (7^2).
  • Step 3: Now we can rewrite the equation: 7^x = 7^2.
  • Step 4: Since the bases (7) are the same, we can set the exponents equal to each other: x = 2.
  • Step 5: Therefore, the value of x is 2.
  • Logarithms – Understanding the relationship between logarithms and exponents, specifically how to express a number as a power of its base.
  • Base Conversion – Recognizing that 49 can be expressed as a power of 7, which is essential for solving logarithmic equations.
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