Question

Find the value of the algorithm: log 36.

A. 1.585
B. 1.557
C. 1.568
D. 1.576

Answer 1

The value of the logarithm of 36 is approximately 1.5563.

Step-by-step explanation:

The common logarithm of 36 is approximately 1.5563.

To find the logarithm of 36, we can use logarithm properties.

1. First, we know that the logarithm of a number between 10 and 100 lies between 1 and 2. So, the logarithm of 36 lies between 1 and 2.
2. We can use interpolation to estimate the value. Since 36 is closer to 100 than 10, we can estimate that the logarithm of 36 is closer to 2 than 1.
3. Finally, we can use a calculator to find a more precise value, which is approximately 1.5563.