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Tasya [4]
3 years ago
11

Type the correct answer in the box log's​

Mathematics
1 answer:
avanturin [10]3 years ago
4 0

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.

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