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

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

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Full solution

Q. Solve for a positive value of x x .\newlinelog⁡x(729)=3 \log _{x}(729)=3 \newlineAnswer:
  1. Understand the equation: Understand the equation.\newlineThe equation log⁡x(729)=3\log_{x}(729)=3 means that xx raised to the power of 33 equals 729729.
  2. Rewrite in exponential form: Rewrite the equation in exponential form.\newlineTo find the value of xx, we rewrite the logarithmic equation in its equivalent exponential form: x3=729x^3 = 729.
  3. Solve for x: Solve for x.\newlineTo find x, we need to find the cube root of 729729.\newlinex=7293x = \sqrt[3]{729}\newlinex=9×9×93x = \sqrt[3]{9 \times 9 \times 9}\newlinex=933x = \sqrt[3]{9^3}\newlinex=9x = 9

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