Log radical b/ a^2 is equivalent to

1) 1/2 log b + 1/2 log a
2) l/2 log b- 2 log a
3) 2 log b - 1/2 log a
4) 1/2logb/2 log a

log (√b/a^2)

= log √b - log a^2
= (1/2)logb - 2loga

To find the equivalent expression for log radical (b/a^2), we can use logarithmic properties.

First, let's rewrite the expression using the properties of radicals: log(b/a^2) = log(b) - log(a^2).

Next, recall the power rule of logarithms, which states that log(a^n) = n * log(a). Applying this rule to our expression, we have: log(b) - log(a^2) = log(b) - 2 * log(a).

Therefore, the equivalent expression for log radical (b/a^2) is 2(log(b)) - 2(log(a)), which matches option 3) 2 log b - 1/2 log a.