If log$_x$ 2 = 0.3, evaluate log$_x$ 8.

Analyze the question: We're given log_x 2 = 0.3 and asked to find log_x 8. The key is to notice that 8 is a power of 2.

Concept: The power rule of logarithms: log_x (aⁿ) = n · log_x a

Solution:

1. Write 8 as a power of 2: 8 = 2³
2. So log_x 8 = log_x (2³)
3. Apply the power rule: log_x 8 = 3 × log_x 2
4. Substitute the given value: log_x 8 = 3 × 0.3 = 0.9

Checking the options: 0.9 matches option C.

Answer: C (0.9)

Tip: When you see numbers like 4, 8, 16 or 9, 27, 81 in a log question, rewrite them as powers of the base number given (2 or 3). Then bring the power to the front. Here, log 8 is just 3 times log 2.