[log10(5log10100)]2 = ?

[log₁₀(5log₁₀100)]² = ?

A 1

B 2

C 10

D 25

Solution

Correct Answer: Option A

[log₁₀(5log₁₀100)]²

=[log₁₀{5log₁₀(10)²}]²

=[log₁₀(5×2)]²

=(log₁₀10)²=1