Question

Express 2log3 - $\frac{1}{2}$log16 + log12 as a single logarithm.
Please show working, I need it for homework.

Answer 1

Answer:

log 3^2-log (16)^1/2+log 12

log 9 - log (4^2)^1/2+log 12

log 9 - log 4 + log 12

log (3×3)- log (2×2) + log (3×2×2)

log3+log3-(log2+log2)+log3+log2+log2

3log3-2log2+2log2

3log3

log 3^3

log 27