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Answer 1 · 2017-03-20T21:19:12

See below

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)#