How do you differentiate y= log _5 x? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions without Base e 1 Answer Henry W. Oct 26, 2016 (dy)/(dx)=1/(xln5) Explanation: y=log_5x=lnx/ln5->change of base =1/(ln5)lnx (dy)/(dx)=1/ln5*1/x->1/ln5 is a constant, so we don't change it =1/(xln5) 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 24907 views around the world You can reuse this answer Creative Commons License