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stira [4]
4 years ago
8

Use the laws of logarithms and the values given below to evaluate the logarithmic expression (picture provided)

Mathematics
2 answers:
VMariaS [17]4 years ago
5 0

Use the quotient rule [ \text{log}_a\frac{x}{y} = \text{log}_ax-\text{log}_ay ] to simplify.

\text{log}\frac{5}{7} = \text{log}(5)-\text{log}(7)

Simplify using the given values.

0.6990 - 0.8451

-0.1461

Therefore, \text{log}\frac{5}{7}=-0.1461

Best of Luck!

nydimaria [60]4 years ago
4 0

Answer: Option a.

Step-by-step explanation:

To solve the given exercise, you must keep on mind the law of logarithms shown below:

 log(a)-log(b)=log(\frac{a}{b})

Therefore, by applying the law , you can rewrite the expression given, as following:

log(\frac{5}{7})=log(5)-log(7)

You know that:

log5=0.6990\\log7=0.8451

Then, when you substitute values, you obtain:

0.6990-0.8451=-0.1461

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