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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?
Steps
Concepts
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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