Question

Use the Laws of Logarithms to combine the expression.

log 54+1/2 log 6-log 6

Answer 1

log54+log6^(1/2)-log6.......
log[{(54+root(6))}/6)].....

Answer 2

Should be \[log(\frac{54\sqrt{6}}{6})\]
When simplified:
\[log(9\sqrt{6})\]
Rules of logarithms:
\[log_b(m)+log_b(n)=log_b(mn)\]
\[log_b(m)-log_b(n)=log_b(\frac{m}{n})\]
And though it doesn't apply here:
\[log_b(m^n)=nlog_b(m)\]