Which of these is another way to write the function ƒ(x)=16x?
1) f(x)=4^4x
2) f(x)=2^4x
3_ f(x)=2 ^x/4
4_f(x)=4 ^/x4
I the answer 2, is that correct?
I have no idea Reiny, I really don't. They just want to make this already hard algebra harder ig.
Thank you for the help though, I really appreciate it.
since 2^4 = 16
f(x) = 16x is the same as f(x) = 2^4 x
(but why would anybody want to write it in a more complicated way??)
I know this is probably old but Incase anybody needs the answer it’s 2^4x
got*
To determine which of these options is another way to write the function ƒ(x)=16x, let's analyze each option.
1) f(x)=4^4x: This option represents 4 raised to the power of 4x, not 16x. Thus, it is not another way to write the function ƒ(x)=16x.
2) f(x)=2^4x: This option represents 2 raised to the power of 4x. By using the exponent rule, we know that any number raised to the power of a product of terms (in this case, 4x) can be rewritten as the product of the same number raised to each individual term (2^4 * 2^x). Simplifying this expression, we get 16 * 2^x. Since this is equivalent to 16x, option 2 is correct.
3) f(x)=2 ^x/4: This option represents 2 raised to the power of x, divided by 4. This is not equivalent to 16x, so it is not another way to write the function ƒ(x)=16x.
4) f(x)=4 ^/x4: There seems to be a typo in the option you've provided. The expression is not clear and cannot be directly equated to 16x. Therefore, it is not another way to write the function ƒ(x)=16x.
In conclusion, the correct answer is option 2) f(x)=2^4x, as it is a valid alternative representation of the function ƒ(x)=16x.