SOLUTION: how you guys condense that expression as single quantity. Thanks. 3[lnx-ln(x+3)-ln(x-3)]

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: how you guys condense that expression as single quantity. Thanks. 3[lnx-ln(x+3)-ln(x-3)]      Log On


   



Question 372545: how you guys condense that expression as single quantity. Thanks.
3[lnx-ln(x+3)-ln(x-3)]

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the log rules,
3%28ln%28x%29-ln%28x%2B3%29-ln%28x-3%29%29=3%28ln%28x%2F%28x%2B3%29%29-ln%28x-3%29%29%29
.
.
3%28ln%28x%29-ln%28x%2B3%29-ln%28x-3%29%29=3%28ln%28x%2F%28%28x%2B3%29%28x-3%29%29%29%29
.
.
3%28ln%28x%29-ln%28x%2B3%29-ln%28x-3%29%29=3%28ln%28x%2F%28x%5E2-9%29%29%29
.
.
3%28ln%28x%29-ln%28x%2B3%29-ln%28x-3%29%29=highlight%28ln%28x%5E3%2F%28x%5E2-9%29%5E3%29%29