How do you expand #ln(x(x+11))^3#?
1 Answer
Feb 9, 2016
Explanation:
You can use the following two logarithmic laws:
[1]
#" " log_a(m * n) = log_a(m) + log_a(n)# [2]
#" " log_a(m ^r) = r * log_a(m)#
So, let's transform your term:
#ln( x(x+11) )^3 stackrel("[2] ")(=) 3 * ln(x(x+1))#
#stackrel("[1] ")(=) 3 ( ln(x) + ln(x+1))#
#= 3 ln(x) + 3 ln(x+1)#
From here on, you can't expand this expression any further.
