Answer:
x = 2 × 3 11/6 ≅ 2 × 7.5 ≅ 15
Step-by-step explanation:
6 log₃ (0.5x) = 11
log₃ (0.5x) = 11/6
Here we make both sides the exponent of a base 3. It'll be the inverse function for the left hand side and cancel out the log.
3ˡᵒᵍ₃ ⁽ ⁰.⁵ˣ ⁾ = 3 11/6
0.5x = 3 11/6
Hence the answer:
x = 2 × 3 11/6 ≅ 2 × 7.5 ≅ 15