Express log A in terms of the

2
logarithms of prime numbers:

A= (sqrt(3)*sqrt4(125))/7^3

1 answer

Assuming that sqrt4(125) means ∜125, then

A = 3^(1/2) * 5^(3/4) / 7^3
so,
logA = (1/2)log3 + (3/4)log5 - 3log7

The base of the logs does not matter. The rules still hold.