What is log7(49a) – log10(0.01)?

What is log₇(49^a) – log₁₀(0.01)?

• A.
  (frac{49^a}{100})
• B.
  (frac{a}{2}) + 2
• C.
  7^2a + 2
• D.
  2a + 2
• E.
  (frac{2a}{2})

Correct Answer: Option D

Explanation

log₇/>(49^a) – log₁₀(0.01) = log₇/>(7²)^a – log₁₀100
log₇/>7^2a – log₁₀1 – log₁₀ 10²
= 2a – 2
= 2a + a