To calculate the maximum data rate in a line we use shannon's theorem: max data rate =bandwidth x log2 (1 + s/n) what is the maximum data rate in a fiber optic line if the s/n=95 [db] and the bandwidth of the line is zero [mhz]?

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!