Question 957757
Suppose log a = 0.3, log b = -0.5. Evaluate each of the following. Don't just give a numerical
answer; indicate clearly the log rules you used to calculate the answer.

i. {{{ log ((1000 a^2 ))= log((10^3*a^2))=log((10^3)+log(a^2))=3+2log(a)=3+0.6=3.6}}}
Rules applied:
1.Add logs when multiplying.
2.Base raised to a power=power
3.Exponent rule
..
ii. {{{ log(root(4, (a/b)))=log((a^(1/4)/b^(1/4)))=(1/4) log(a)-(1/4) log(b)=0.3/4+0.5/4=0.2 }}}
1. convert 4th root to 1/4 exponent
2.Subtract logs logs when dividing
3.Exponent rule