Question 7 of 10For any positive numbers a, b, and d, with b 1,logA. log, a + logodB. log, a-log, dC. d.logbaO D. log, a log, d

Question

asked Sep 21, 2023 129k views

1 Answer

Kravi · Answer 1 · 2023-09-27T01:01:28+0000

Answer:

Option B

Explanation:

Given the logarithm expression:

$\begin{gathered} \log_b\left((a)/(d)\right) \\ a,b.d\text{ positive numbers} \\ b\cancel{=}1 \end{gathered}$

By the quotient law of logarithms:

$\log _(b)\left((M)/(N)\right)=\log _(b) M-\log _(b) N$

Therefore:

$\operatorname{\log}_b\left((a)/(d)\right)=\log_b\left(a\right)-\log_b\left(d\right)$

Option B is correct.