Question

Solve log812 = x – 2 . Round your answer to four decimal places.

x=-0.8050

x=3.1950

x=2.8368

x=3.850

Answer 1

Solve log_8 12 = x − 2.

x = 2 + log_8 12 = 2 + (log 12)/(log 8) = 2 + (log2 12)/3
log2 12 = log2 3 + 2 ≈ 1.5849625007 + 2 = 3.5849625007
So x ≈ 2 + 3.5849625007/3 ≈ 3.1949875002

Rounded to four decimal places: x = 3.1950.