Thread: Logarithims Help

Have a few questions that have to deal with logarithims. I dont quite understand them all and need some help. The first question is

1. Use what you know about polynomials to find the maximum value of the function. F(x)= 3+4x^2 - x^4 (Hint: set t=x^2)


2. Graph the polynomial without using a calculator ( i.e. find the zeros then use test points.)
P(x)= (1/8)(2x^4 +3x^3 - 16^2 - 24)^2


5. Find the following;
a. f(x) = ln(ln(ln x)
b. f(x) = log base 2(log base 10(x))

6. Use the change of base formula to show that
a. Log base 10 = (1/ln 10)

Originally Posted by Eandrews

Have a few questions that have to deal with logarithims. I dont quite understand them all and need some help. The first question is

1. Use what you know about polynomials to find the maximum value of the function. F(x)= 3+4x^2 - x^4 (Hint: set t=x^2)

Mr F says: The maximum value of F(x) is the same as the maximum value of G(t) = 3 + 4t - t^2. Do you know how to find the maximum value of a parabola?


[snip]

5. Find the following;
a. f(x) = ln(ln(ln x)
b. f(x) = log base 2(log base 10(x))

Mr F says: What are you meant to find ....?

6. Use the change of base formula to show that
a. Log base 10 = (1/ln 10) Mr F says: Log base 10 of what ....? Either the argument of the log is missing or the base is missing ....

This is all I have time for right now.

it doesnt say what to solve for in problem 5 my mistake for 6 its
log e=(1/ln10)

Originally Posted by Eandrews

it doesnt say what to solve for in problem 5 my mistake for 6 its
log e=(1/ln10)

This still makes no sense.

You mean , right? (Which you could have written as log(base e) (10), for example).

Then note:

.

In other words, .

Originally Posted by Eandrews

it doesnt say what to solve for in problem 5 [snip]

Then you need to get clarification from your instructor.