Question

Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 8

Answer 1

log(1/4)

log(2) + log (1/8)

Answer 2

`\log 2-\log 8=\log(1)/(4)\\\\\log 2-\log 8=-\log 4`

Explanation:

`\log 2-\log 8=\log(2)/(8)\ \ \ \ \ \ \ \ \ \ \ \ \ \ \log(a)/(b)=\log a-\log b\\\\\log 2-\log 8=\log(1)/(4)\\\\\log 2-\log 8=\log 1-\log 4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \log(a)/(b)=\log a-\log b\\\\\log 2-\log 8=-\log 4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \log 1=0`