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If log_4(64) = x, what is the value of x?
If log_4(64) = x, what is the value of x?
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If log_4(64) = x, what is the value of x?
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log_4(64) = log_4(4^3) = 3.
Questions & Step-by-step Solutions
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Q: If log_4(64) = x, what is the value of x?
Solution:
log_4(64) = log_4(4^3) = 3.
Steps: 6
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Step 1: Understand that log_4(64) means 'to what power must 4 be raised to get 64?'
Step 2: Rewrite 64 as a power of 4. We know that 4^3 = 64.
Step 3: Now we can say log_4(64) = log_4(4^3).
Step 4: Use the property of logarithms that says log_b(b^a) = a. Here, b is 4 and a is 3.
Step 5: Therefore, log_4(4^3) = 3.
Step 6: Conclude that x = 3.
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