Discussion

Explanation:

Let us first simplify the numerator. Since 1 is positive,
(1 # 1) is 1 + 1 = 2 which again is positive. Then
(1 # 1) # 2 = 2 # 2 = 2 + 2 = 4
Now note that log₁₀ 0.1
= log₁₀ 10^–1 = –1
Then 10^1.3 log₁₀ 0.1= 10^1.3 × (–1) is negative.
So 10^1.3 ∇ log₁₀ 0.1 = 1
Hence, the numerator is equal to 4 –1 = 3
Since 1 × 2 = 2 is positive, (1∇2) = (1× 2)¹⁺² = 2³ = 8.
So the denominator = 8. Hence, the answer is $\frac{3}{8}.$

» Your doubt will be displayed only after approval.