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If 4^x = 64, what is the value of x?
Practice Questions
Q1
If 4^x = 64, what is the value of x?
2
3
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5
Questions & Step-by-Step Solutions
If 4^x = 64, what is the value of x?
Steps
Concepts
Step 1: Understand the equation 4^x = 64.
Step 2: Rewrite 64 as a power of 4. We know that 4^3 = 64.
Step 3: Now we have 4^x = 4^3.
Step 4: Since the bases (4) are the same, 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 different numbers can be expressed as powers of the same base.
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