I have the following problem:
f(x) = e^(4x-1) + 5^x
I see that I need to use logarithmic differentiation. I've worked on this awhile and I am confused on two points:
1) How do I do ln of the right side of the equation when there are two terms? ln each(ie. does ln distribute)? ln the whole thing and use algebraic properties of ln to turn it into ln(e^(4x-1)*5^x)?
2) I don't know how to ln(e^(4x-1)). I haven't found a similar example in the textbook. In the answer to this question e^(4x-1) is a term. But from what I understand, ln(e^4x-1) should be (4x-1)e, as the whole point of using logarithmic differentiation is to get that exponent with an x out of there!
Hellllllppppppppppp!
Thanks,
J
f(x) = e^(4x-1) + 5^x
I see that I need to use logarithmic differentiation. I've worked on this awhile and I am confused on two points:
1) How do I do ln of the right side of the equation when there are two terms? ln each(ie. does ln distribute)? ln the whole thing and use algebraic properties of ln to turn it into ln(e^(4x-1)*5^x)?
2) I don't know how to ln(e^(4x-1)). I haven't found a similar example in the textbook. In the answer to this question e^(4x-1) is a term. But from what I understand, ln(e^4x-1) should be (4x-1)e, as the whole point of using logarithmic differentiation is to get that exponent with an x out of there!
Hellllllppppppppppp!
Thanks,
J