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What is the base of the logarithm if log_3(81) = 4?
What is the base of the logarithm if log_3(81) = 4?
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Q1
What is the base of the logarithm if log_3(81) = 4?
3
4
9
81
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Since 81 is 3^4, the base of the logarithm is 3.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the base of the logarithm if log_3(81) = 4?
Solution:
Since 81 is 3^4, the base of the logarithm is 3.
Steps: 4
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Step 1: Understand that log_3(81) means 'to what power must 3 be raised to get 81'.
Step 2: Recognize that 81 can be expressed as a power of 3.
Step 3: Calculate 3 raised to the power of 4, which is 3^4 = 81.
Step 4: Since 3^4 equals 81, we confirm that the base of the logarithm is 3.
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