Question

Log base 2(3) =A
loge base 2(5)=B
find log base 2(9/25)

Answer 1

To find log base 2 of 9/25, subtract the logarithms of 9 and 25. The expression can be written as A - B.

Step-by-step explanation:

To find log base 2 of 9/25, we can use the property of logarithms that states the logarithm of the result of dividing two numbers is equal to the difference of their logarithms. In this case, we already know that log base 2 of 9 is A and log base 2 of 25 is B. Therefore, log base 2 of 9/25 is equal to log base 2 of 9 minus log base 2 of 25.

Using the properties of logarithms, we can rewrite the expression as log base 2 of (9/25) = log base 2 of 9 - log base 2 of 25 = A - B.

Therefore, log base 2 of 9/25 is equal to A minus B.