If (92)p = 98, what is the value of p?
2
3
4
6
None of those is correct.
Those are the only multiple choices
Please check the problem. It may have a typo in it.
To find the value of p, we need to understand what the expression "(92)p" means.
In mathematics, the notation (ab)c represents the number "ab" written in base "c".
So in this case, "(92)p" means the number "92" written in base "p".
Given that "(92)p = 98", we need to find the value of p that satisfies this equation.
To do that, we can convert the numbers to their decimal form and set up an equation.
We can convert (92)p to its decimal form by expanding it as:
(92)p = 9 × p^1 + 2 × p^0
Simplifying it further, we have:
(92)p = 9p + 2
Since (92)p = 98, we can substitute it into the equation:
9p + 2 = 98
To find the value of p, we can subtract 2 from both sides of the equation:
9p = 96
Next, divide both sides of the equation by 9:
p = 96/9
Simplifying further, we get:
p = 10
Therefore, the value of p is 10.