Which of the following equations correctly represents a circle centered at the origin with a radius of 5?

x^{2} +y^{2} =25 centered at the origin and has a radius of 5.

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!