Question

How do I solve 6log(base 3).5x=11 ?

Answer 1

Answer:

x = 2 × 3 11/6 ≅ 2 × 7.5 ≅ 15

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