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If log_x(64) = 6, what is the value of x? (2023)
If log_x(64) = 6, what is the value of x? (2023)
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If log_x(64) = 6, what is the value of x? (2023)
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log_x(64) = 6 implies x^6 = 64. Since 64 = 2^6, we have x = 2.
Questions & Step-by-step Solutions
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Q: If log_x(64) = 6, what is the value of x? (2023)
Solution:
log_x(64) = 6 implies x^6 = 64. Since 64 = 2^6, we have x = 2.
Steps: 5
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Step 1: Understand the equation log_x(64) = 6. This means that x raised to the power of 6 equals 64.
Step 2: Rewrite the equation in exponential form: x^6 = 64.
Step 3: Recognize that 64 can be expressed as a power of 2: 64 = 2^6.
Step 4: Now we have the equation x^6 = 2^6.
Step 5: Since the bases are the same (both are raised to the power of 6), we can set the bases equal to each other: x = 2.
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