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If 5^x = 125, what is the value of x?

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Question: If 5^x = 125, what is the value of x?

Options:

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Correct Answer: 3

Solution: 

125 = 5^3 => x = 3

If 5^x = 125, what is the value of x?

Practice Questions

Q1
If 5^x = 125, what is the value of x?
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Questions & Step-by-Step Solutions

If 5^x = 125, what is the value of x?
  • Step 1: Understand the equation 5^x = 125.
  • Step 2: Recognize that 125 can be expressed as a power of 5.
  • Step 3: Calculate 5^3, which equals 125.
  • Step 4: Since 5^x = 5^3, we can set the exponents equal to each other: x = 3.
  • Step 5: Therefore, the value of x is 3.
  • Exponential Equations – Understanding how to manipulate and solve equations involving exponents.
  • Base Conversion – Recognizing that 125 can be expressed as a power of 5.
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