Algebra-2

Question Analysis
This question involves calculating the values of at two specific x-values (2 and 8) and describing how the function value changes as x increases.
The main focus is on using the relationship between logarithms and powers of the base to find the function values.

Key Concept Explanation
For , the function value at a given x is the exponent to which 2 must be raised to get x:
If , then .As x increases (and since , is increasing), the function value will also increase.
We need to find k for and .

Step-by-step Solution
1. Find (value at ): , so (by ). Thus, .
2. Find

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