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Solve the following logarithm problem for the positive solution for x. log_(x)216=3 Answer:

Solve the following logarithm problem for the positive solution for x x .\newlinelog⁡x216=3 \log _{x} 216=3 \newlineAnswer:

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Full solution

Q. Solve the following logarithm problem for the positive solution for x x .\newlinelog⁡x216=3 \log _{x} 216=3 \newlineAnswer:
  1. Understand the logarithmic equation: Understand the logarithmic equation.\newlineThe equation log⁡x216=3\log_{x}216=3 means that xx raised to the power of 33 equals 216216.
  2. Rewrite in exponential form: Rewrite the logarithmic equation in exponential form.\newlineTo find the value of xx, we rewrite the equation in its exponential form: x3=216x^3 = 216.
  3. Solve for x: Solve for x.\newlineTo find xx, we need to find the cube root of 216216. The cube root of 216216 is 66, because 63=2166^3 = 216.\newlinex=6x = 6

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