Determine the number of factors of 5^x + 2•5^x+1.
Choices:
A) x
B) x + 1
C) 2x
D) 2x + 2
Please show solution:)
5^x = 5 to the x power. If so, none of these fit.
Online "^" is used to indicate an exponent, e.g., x^2 = x squared.
Online, “*” is used to indicate multiplication to avoid confusion with “x” as an unknown.
Rewrite your formula in more standard terms.
And, write out the entire problem. One cannot have a solution without an equals sign somewhere.
Why did you re-post the question after it has been answered???
https://www.jiskha.com/display.cgi?id=1507039066
To determine the number of factors of 5^x + 2•5^x+1, we need to first simplify the expression.
We notice that both terms have a common factor of 5^x. We can factor this out to get:
5^x + 2•5^x+1 = 5^x(1 + 2•5)
Simplifying further:
= 5^x(1 + 10)
= 5^x(11)
Now, to find the number of factors, we need to consider the prime factorization of the expression. In this case, the only prime factor is 5.
The exponent of 5 is x, so we can have x+1 choices for the exponent of 5 in the factors (from 0 to x).
Therefore, the number of factors of 5^x(11) is x+1.
Thus, the correct choice is B) x + 1.
(Note: The other choices involve multiplying x by a constant factor or adding a constant number, which does not align with the actual number of factors in this case.)