What is the derivative of y= log (6x-2)? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions without Base e 1 Answer Bill K. Aug 14, 2015 dy/dx=6/(ln(10)(6x-2)) Explanation: Assuming log(6x-2)=log_{10}(6x-2), the Chain Rule and the fact that d/dx(log_{10}(x))=1/(ln(10)x) imply that dy/dx=6/(ln(10)(6x-2)) when y=log(6x-2). 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 3182 views around the world You can reuse this answer Creative Commons License