Final Answer
Step-by-step Solution
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Change the logarithm to base $e$ applying the change of base formula for logarithms: $\log_b(a)=\frac{\log_x(a)}{\log_x(b)}$
Learn how to solve logarithmic differentiation problems step by step online.
$\frac{d}{dx}\left(2\left(\frac{\ln\left(x\right)}{\ln\left(3\right)}-3\ln\left(x\right)\right)\right)$
Learn how to solve logarithmic differentiation problems step by step online. Find the derivative using logarithmic differentiation method d/dx(2(log3(x)-3ln(x))). Change the logarithm to base e applying the change of base formula for logarithms: \log_b(a)=\frac{\log_x(a)}{\log_x(b)}. Combining like terms \frac{\ln\left(x\right)}{\ln\left(3\right)} and -3\ln\left(x\right). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}.