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Solve for a positive value of x. log_(3)(729)=x Answer:

Solve for a positive value of x x .\newlinelog⁡3(729)=x \log _{3}(729)=x \newlineAnswer:

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Full solution

Q. Solve for a positive value of x x .\newlinelog⁡3(729)=x \log _{3}(729)=x \newlineAnswer:
  1. Recognize base and argument: Recognize the base and the argument of the logarithm.\newlineWe are given the logarithm log⁡3(729)=x\log_3(729) = x, where the base is 33 and the argument is 729729.
  2. Convert to exponential form: Convert the logarithmic equation into an exponential equation.\newlineThe logarithmic equation log⁡3(729)=x\log_3(729) = x can be rewritten in exponential form as 3x=7293^x = 729.
  3. Determine value of x: Determine the value of xx that makes the equation true.\newlineSince 36=7293^6 = 729, we can conclude that x=6x = 6.

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