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If log_x(81) = 4, what is the value of x?
If log_x(81) = 4, what is the value of x?
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If log_x(81) = 4, what is the value of x?
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log_x(81) = 4 implies x^4 = 81 => x = 3.
Questions & Step-by-step Solutions
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Q: If log_x(81) = 4, what is the value of x?
Solution:
log_x(81) = 4 implies x^4 = 81 => x = 3.
Steps: 5
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Step 1: Understand the equation log_x(81) = 4. This means that x raised to the power of 4 equals 81.
Step 2: Rewrite the equation in exponential form: x^4 = 81.
Step 3: To find x, we need to take the fourth root of 81. This means we need to find a number that, when multiplied by itself four times, equals 81.
Step 4: Calculate the fourth root of 81. We know that 3 * 3 = 9 and 9 * 9 = 81, so 3 raised to the power of 4 equals 81.
Step 5: Therefore, x = 3.
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