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If log_x(81) = 4, find x.
If log_x(81) = 4, find x.
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Q1
If log_x(81) = 4, find x.
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log_x(81) = 4 implies x^4 = 81 => x^4 = 3^4 => x = 3.
Questions & Step-by-step Solutions
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Q: If log_x(81) = 4, find x.
Solution:
log_x(81) = 4 implies x^4 = 81 => x^4 = 3^4 => x = 3.
Steps: 5
Show Steps
Step 1: Start with the equation log_x(81) = 4.
Step 2: Understand that log_x(81) = 4 means that x raised to the power of 4 equals 81.
Step 3: Rewrite the equation as x^4 = 81.
Step 4: Recognize that 81 can be expressed as 3 raised to the power of 4, so rewrite the equation as x^4 = 3^4.
Step 5: Since the bases are the same (both are raised to the power of 4), we can set the bases equal to each other: x = 3.
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