Question #09fd4

1 Answer
Mar 20, 2017

See below

Explanation:

This answer will assume #log# is referring to the natural logarithm

Chain rule for composite functions:

#(fg(x))'=f'(g(x))g'(x)#

#(log^4 x)'=4log^3 x 1/x=(4log^3 x)/x#

If #log# is referring to the #log# of base #10#, then the derivative is:

#(4ln^3 x)/(xln^4 10)#