Question 42
LogarithmsWhat is log7 (49a) − log10 (0.01)?
- A.49a/100
- B.a/2 + 2
- C.72a + 2
- D.2a + 2
- E.2a/2.
Show the answer and explanation
Answer: D (2a + 2)
Explanation
log₇ 49ᵃ = log₇ 7²ᵃ = 2a and log₁₀ 0.01 = −2, so the result is 2a + 2.
What is log7 (49a) − log10 (0.01)?
Answer: D (2a + 2)
log₇ 49ᵃ = log₇ 7²ᵃ = 2a and log₁₀ 0.01 = −2, so the result is 2a + 2.