Which expression is equivalent to log3 c/9?

Mathematics

2 answers:

stepladder [879]3 years ago

5 0

Hello!

There is an existing logarithmic property that states that $log \frac{M}{N}$ is equal to $log M-logN$ .

Following that property, we can tell that $log \frac{c}{9}$ would be equal to $log(c)-log(9)$ .

ANSWER: $log(c)-log(9)$ (third option)

Viktor [21]3 years ago

3 0

Answer

㏒₃C - ㏒₃9

Explanation

㏒(A/B) = ㏒A - ㏒B
So, from the log given we will have

㏒₃(3/9) =㏒₃C - ㏒₃9

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Bobby read a total of 20 books over 2 months. If Bobby has read 90 books so far, how many months has he been with his book club?

tatuchka [14]

Step 1

From the question;

$\begin{gathered} Bobby\text{ reads 20 books in 2 months} \\ \end{gathered}$

We are required to find how many months it will take him to read 90 books

Step 2

We will use the ratio below to solve the problem.

$\begin{gathered} \frac{20\text{ books}}{90\text{ books}}=\frac{2months}{x} \\ x=months\text{ to read 90books} \\ x=\frac{90\times2}{20} \\ x=9\text{ months} \end{gathered}$

Answer; It will take Bobby 9months to read 90 booj