# Derivatives of Logarithmic Functions

Find the derivative of $h(x) = 8^{x}\log_{9}x$

Posted by Ashley Oliver 9 months ago

## Related Problems

Find the derivative of $f(x) = x^{3}e^{-2x}$

Determine the slope of the tangent line to the function $f(x) = 2e^{-3x}$at $(0,2)$

Use the properties of logarithms to show that the derivative of $\log_{a}x = \frac{1}{(\ln{a})x}$

Use implicit differentiation to show that the derivative of $\ln{x} = \frac{1}{x}$ for $x > 0$

Note that many classes introduce logarithmic differentiation before implicit differentiation.