contestada

Use the approximate logarithm values below to estimate the value of each of the following logarithms. Indicate which properties you used.
log (3/7)

Respuesta :

Answer:

[tex]\log(\frac{3}{7})[/tex] = -0.3679

Step-by-step explanation:

To solve:

[tex]\log(\frac{3}{7})[/tex]

Now,

we know the property of the log function that

[tex]\log(\frac{A}{B})[/tex] = log(A) - log(B)

Therefore,

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

[tex]\log(\frac{3}{7})[/tex] = log(3) - log(7)

also,

log(3) = 0.4771

log(7) = 0.8450

therefore on substituting these values, we have

[tex]\log(\frac{3}{7})[/tex] = 0.4771 - 0.8450

or

[tex]\log(\frac{3}{7})[/tex] = -0.3679