Question

Type the correct answer in the box log's​

Answer 1

Answer:

log(7) will be the correct answer.

Step-by-step explanation:

$\text{\frac{14}{3}}+\text{log}(\frac{11}{5})-\text{log}(\frac{22}{15})$By using law of logarithm to solve the given expression,

1). $\text{log}(m)+\text{log}(n)=\text{log(mn)}$

2). $\text{log(m)}-\text{log(n)}=\text{log}(\frac{m}{n})$

By applying these rules, we can simplify the given expression,

$\text{log}(\frac{14}{3})+\text{log}(\frac{11}{5})-\text{log}(\frac{22}{15})$

$\text{log}(\frac{14}{3})+\text{log}(\frac{11}{5})-\text{log}(\frac{22}{15})=\text{log}(\frac{\frac{14}{3}\times \frac{11}{5}}{\frac{22}{15}})$

                                          $=\text{log}(\frac{\frac{154}{15}}{\frac{22}{15}})$

                                          = $\text{log}(\frac{154}{15}\times \frac{15}{22})$

                                          = log(7)

Therefore, log(7) will be the correct answer.