Question

Which expression is equivalent to log5(X/4)^2

Answer 1

Answer: Applying properties of logarithm, the expression equivalent to

log5 (x/4)^2 is: 2 (log5 x - log5 4)

Solution:

log5 (x/4)^2

Using loga b^c = c loga b; with a=5, b=(x/4), and c=2

log5 (x/4)^2 = 2 log5 (x/4)

Using loga (b/c) = loga b - loga c; with a=5, b=x, and c=4

log5 (x/4)^2 = 2 (log5 x - log5 4)

Answer 2

2log(base 5)x - 2log(base 5)4