Looks good to me!RTCNTC said:If n is a positive integer and k + 2 = 3^(n), which of the following could NOT be a value of k?
A. 1
B. 4
C. 7
D. 25
E. 79
I say the answer is B or 4.
When k = 4, k + 2 becomes 6.
However, there is no power we can raised 3 to that will yield 6.
Is my reasoning correct?
The variable "k" represents the unknown value that we are trying to find in the equation.
The variable "n" represents the exponent in the exponential term, which is 3^(n).
Finding the value of "k" allows us to solve for a specific solution to the equation and understand the relationship between the variables in the equation.
To solve for "k", we need to isolate it on one side of the equation. This can be done by subtracting 2 from both sides and then taking the logarithm of both sides with a base of 3. This will give us the value of "n" and we can then substitute it back into the original equation to find the value of "k".
Yes, depending on the given information, we can solve for any of the variables in the equation by isolating it and using appropriate mathematical operations.