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If log_x(27) = 3, find x.
If log_x(27) = 3, find x.
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Practice Questions
1 question
Q1
If log_x(27) = 3, find x.
3
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27
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log_x(27) = 3 implies x^3 = 27 => x = 3.
Questions & Step-by-step Solutions
1 item
Q
Q: If log_x(27) = 3, find x.
Solution:
log_x(27) = 3 implies x^3 = 27 => x = 3.
Steps: 5
Show Steps
Step 1: Understand the equation log_x(27) = 3. This means that x raised to the power of 3 equals 27.
Step 2: Rewrite the equation in exponential form: x^3 = 27.
Step 3: To find x, we need to solve the equation x^3 = 27.
Step 4: Take the cube root of both sides of the equation: x = 27^(1/3).
Step 5: Calculate the cube root of 27. Since 3 * 3 * 3 = 27, we find that x = 3.
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