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Solve for xx. \newline3 log⁑2(xβˆ’4)=93 \, \log_2 (x-4) = 9 \newlineWrite your answer in simplest form.

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Full solution

Q. Solve for xx. \newline3 log⁑2(xβˆ’4)=93 \, \log_2 (x-4) = 9 \newlineWrite your answer in simplest form.
  1. Divide by 33: Divide both sides by 33.\newlinelog⁑2(xβˆ’4)=3 \log_2(x-4) = 3
  2. Exponential form: Rewrite in exponential form.\newlinexβˆ’4=23 x - 4 = 2^3
  3. Calculate value: Calculate 23 2^3 .\newlinexβˆ’4=8 x - 4 = 8
  4. Add 44: Add 44 to both sides.\newlinex=8+4 x = 8 + 4
  5. Simplify right side: Simplify the right side.\newlinex=12 x = 12

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