Question

Use logarithmic properties and the fact that ln(2) ≈ 0.69 and ln(3) ≈ 1.10 to approximate the value of each of the

Answer 1

Answer:

The answer is 0.97

Step-by-step explanation:

Hi, we need to use the log properties taking into account that Ln(2) is aprox. 0.69 and Ln(3) is aprox. 1.10. I think you can understand better as we solve it, so here it goes.

$Ln(\frac{8}{3} )=Ln(8)-Ln(3)$

Since:

$8=2^{3}$

$Ln(2^{3} )-Ln(3)$

Then

$3Ln(2)-Ln(3)$

Now, we have everything where we want it, in terms of Ln(2) and Ln(3), now it is easy to solve.

$3(0.69)-1.10$

$2.07-1.10=0.97$

Best of luck.