Question 59600
Write the expression logb(x-1)+3logb(x-2)-2logb(x+3) as a single logarithm. Assume that the variables represent positive numbers.
Rules we'll use:
1. {{{highlight(alogb(x)=logb(x^a))}}}
2. {{{highlight(logb(a*c)=logb(a)+logb(c))}}}
3. {{{highlight(logb(a/c)=logb(a)-logb(c))}}}
:
{{{logb(x-1)+3logb(x-2)-2logb(x+3)}}}
{{{logb(x-1)+logb((x-2)^3)-logb((x+3)^2)}}}  rule 1
{{{logb((x-1)(x-2)^3)-logb((x+3)^2)}}}  rule 2
{{{logb((x-1)(x-2)^3/((x+3)^2))}}}
:
Happy Calculating!!!