Question

Use the approximate logarithm values below to estimate the value of each of the following logarithms. Indicate which properties you used.

log (3/7)

Answer 1

`\log((3)/(7))` = -0.3679

Explanation:

To solve:

`\log((3)/(7))`

Now,

we know the property of the log function that

`\log((A)/(B))` = log(A) - log(B)

Therefore,

applying this property on the equation given in the question, we get

`\log((3)/(7))` = log(3) - log(7)

also,

log(3) = 0.4771

log(7) = 0.8450

therefore on substituting these values, we have

`\log((3)/(7))` = 0.4771 - 0.8450

or

`\log((3)/(7))` = -0.3679