using log propertiesf(x) = 2log3(5^x) - log3(4^x)
All the stuff in front of the x is constant so
New topic we started today, and like always the lesson is easy and straightforward but the homework is more complicated. The examples we did in class weren't like this question.
We learned how to find the derivative of an exponential function, base b. It is the original function multiplied by ln b multiplied by the derivative of the exponent.
We also learned how to find the derivative of a logarithmic function. It is the derivative of the function itself devided by the original function multiplied by ln b.
Ok, that's all well and good, but what about when you have to find the derivate of the logarithmic function that has an exponential function in place of x.
Find the derivative of this function:
f(x) = 2log3(5^x) - log3(4^x)
Where 3 is the base of the logarithmic function (I don't know how to make it a subscript).
Thanks for any help. This is the only type of question I didn't get from today's homework.