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If 8^(x) = 64, what is the value of x?
Practice Questions
Q1
If 8^(x) = 64, what is the value of x?
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Questions & Step-by-Step Solutions
If 8^(x) = 64, what is the value of x?
Steps
Concepts
Step 1: Understand the equation. We have 8 raised to the power of x, which equals 64.
Step 2: Rewrite 64 as a power of 8. We know that 64 can be expressed as 8 raised to the power of 2 (since 8 * 8 = 64).
Step 3: Set the exponents equal to each other. Since 8^x = 8^2, we can say that x = 2.
Step 4: Conclude that the value of x is 2.
Exponential Equations
– Understanding how to manipulate and solve equations involving exponents.
Base Conversion
– Recognizing that both sides of the equation can be expressed with the same base to simplify solving.
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