Question

Use the properties of logarithms to express as a sum, difference, and or mulitple of logarithms.
log(x(squre root of x-3)

Answer 1

logx + (1/2)log(x-3)

Answer 2

\[\log(A*B)=\log(A)+\log(B)\]

Answer 3

\[\log(x^a)=a*\log(x)\]

Answer 4

so log(xsqrt(x-3))=
log(x)+log(sqrt(x-3)=
log(x)+log((x-3)^(1/2))=
log(x)+(1/2)log(x-3)