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If logx(81) = 4, what is the value of x?
If logx(81) = 4, what is the value of x?
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If logx(81) = 4, what is the value of x?
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x = 81^(1/4) = 3.
Questions & Step-by-step Solutions
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Q: If logx(81) = 4, what is the value of x?
Solution:
x = 81^(1/4) = 3.
Steps: 5
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Step 1: Understand the equation logx(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 can be written as x = 81^(1/4).
Step 4: Calculate the fourth root of 81. Since 81 is 3^4, we have 81^(1/4) = (3^4)^(1/4) = 3.
Step 5: Therefore, the value of x is 3.
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