How do you express #\ln 3+ \frac { 1} { 3} \ln ( 4- x ^ { 2} ) - \ln x# in a single quantity?
1 Answer
Aug 27, 2017
We can simplify to
Explanation:
We will use the following properties of logarithms to answer the problem
•
#alnn = lnn^a#
•#lnn + lnm = ln(n * m)#
•#lnn - lnm = ln(n/m)#
Now we can start:
#=ln3 + ln(4 - x^2)^(1/3) - lnx#
#=ln3 + lnroot(3)(4 -x^2) - lnx#
#= ln((3root(3)(4 - x^2))/x)#
Hopefully this helps!