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If log_b(27) = 3, what is the value of b?
If log_b(27) = 3, what is the value of b?
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Q1
If log_b(27) = 3, what is the value of b?
3
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27
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log_b(27) = 3 implies b^3 = 27 => b = 3.
Questions & Step-by-step Solutions
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Q
Q: If log_b(27) = 3, what is the value of b?
Solution:
log_b(27) = 3 implies b^3 = 27 => b = 3.
Steps: 4
Show Steps
Step 1: Understand the equation log_b(27) = 3. This means that b raised to the power of 3 equals 27.
Step 2: Rewrite the equation in exponential form: b^3 = 27.
Step 3: To find b, we need to determine what number raised to the power of 3 gives us 27.
Step 4: Recognize that 3 x 3 x 3 = 27, so b = 3.
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