Question

Use the values approximately equal to 2 ≈ 0.70 and 50 ≈ 3.9 to estimate the approximate value of log2 50.

a) 2.10
b) 2.80
c) 3.50
d) 3.90

Answer 1

To estimate log2 50, we can use the property of logarithms and the fact that 50 is close to 2 raised to the power of 6. Therefore, the approximate value of log2 50 is 6.

Step-by-step explanation:

To estimate the approximate value of log2 50 using the values approximately equal to 2 ≈ 0.70 and 50 ≈ 3.9, we can use the property of logarithms that states log(a * b) = log(a) + log(b). Since 50 is close to 2 raised to the power of 6 (because 2^6 = 64), we can write log2 50 = log2 (2^6) = 6. Therefore, the approximate value of log2 50 is 6.