What is the derivative of #f(x)=log (x/5) #? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions without Base e 1 Answer Dharma R. Sep 16, 2015 #1/x# Explanation: derrivative of #log(x/5)# = #1/(x/5)#*#1/5# which on simplification leads to #1/x# Answer link Related questions What is the derivative of #f(x)=log_b(g(x))# ? What is the derivative of #f(x)=log(x^2+x)# ? What is the derivative of #f(x)=log_4(e^x+3)# ? What is the derivative of #f(x)=x*log_5(x)# ? What is the derivative of #f(x)=e^(4x)*log(1-x)# ? What is the derivative of #f(x)=log(x)/x# ? What is the derivative of #f(x)=log_2(cos(x))# ? What is the derivative of #f(x)=log_11(tan(x))# ? What is the derivative of #f(x)=sqrt(1+log_3(x)# ? What is the derivative of #f(x)=(log_6(x))^2# ? See all questions in Differentiating Logarithmic Functions without Base e Impact of this question 3264 views around the world You can reuse this answer Creative Commons License