You've been given a function:I've been stuck on this for about a week
f(x)= square root of 5 243x6
I've been stuck on this for about a weekf(x)= square root of 5 243x6
You've been given a function:
. . . . .\(\displaystyle f(x)\, =\, \sqrt{5}\, 243 x^6\)
But what are you supposed to be doing with this?
Since you've been working on this for about a week, please include at least one example of your efforts when you reply with the instructions, etc, for this exercise. Thank you!
I'm guessing that this problem involves a FIFTH root, and it is easier to type with fractional exponents:
(243 x6) (1/5)
Can you write 243 as a power of 3? Can you then apply one of the rules for exponents? (I'm thinking of the rule for finding the power of a product)......
You ask if you can you write 243 as a power of 3. I think you are missing a mental image, 2 to the power 3, i.e 23 means (2)(2)(2)
If you say something like 34 then this is short hand for (3)(3)(3)(3) =81
So when ask "can 243 we written as a power of 3" you are asking, "Can I write a string of factors of 3 which equal 243, i.e (3)(3)(3) ... = 243?"
Understanding this you can pretty much answer your question by mental calculation or by using a calculator.
(The answer is yes. BTW you can also write 244 as a power of 3 but then you will need to use logs because the exponent will not be an integer.)
Note also that x6= (x)(x5).
I think you may have been confused by my question.....I anticipated that the original poster might find it helpful to realize that 243 = 35